Metrics for exp2 (problem 3.3.7)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50.4%	49.6%	0%	0%	0%	0
100%	50.4%	0%	49.6%	0%	0%	0%	1

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample3.7s (28.5%)

Memory

42.0MiB live, 3 928.7MiB allocated

Samples

2.7s	5 637×	2	valid
357.0ms	2 393×	1	valid
14.0ms	226×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.8s

ival-exp: 1.8s (65.4% of total)

ival-add: 347.0ms (12.5% of total)

adjust: 304.0ms (11% of total)

ival-sub: 163.0ms (5.9% of total)

ival-fabs: 66.0ms (2.4% of total)

ival-neg: 41.0ms (1.5% of total)

ival-<=: 24.0ms (0.9% of total)

exact: 9.0ms (0.3% of total)

ival-assert: 4.0ms (0.1% of total)

Bogosity

explain756.0ms (5.8%)

Memory

-4.6MiB live, 267.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
131	2	(0.08958268785657435)	-	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
0	0	-	-	`(-.f64 (exp.f64 x) #s(literal 2 binary64))`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`(exp.f64 x)`
0	0	-	-	`(exp.f64 (neg.f64 x))`
0	0	-	-	`(neg.f64 x)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`	cancellation	133	2

Confusion

	Predicted +	Predicted -
+	132	1
-	1	122

Precision

0.9924812030075187

Recall

0.9924812030075187

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	132	1	0
-	1	1	121

Precision?

0.9851851851851852

Recall?

1.0

Freqs

test

number	freq
0	123
1	133

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

545.0ms	364×	2	valid
19.0ms	140×	1	valid
1.0ms	8×	0	valid

Compiler

Compiled 55 to 25 computations (54.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 439.0ms

ival-exp: 247.0ms (56.2% of total)

adjust: 175.0ms (39.9% of total)

ival-sub: 7.0ms (1.6% of total)

ival-add: 6.0ms (1.4% of total)

ival-neg: 2.0ms (0.5% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

preprocess82.0ms (0.6%)

Memory

3.6MiB live, 42.5MiB allocated

Algorithm

1×	egg-herbie

Rules

244×	`lower-fma.f64`
244×	`lower-fma.f32`
104×	`lower-+.f32`
102×	`lower-+.f64`
102×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	31	17
2	81	16
3	183	16
4	308	16
5	389	16
6	416	16
0	7	8
0	12	8
1	24	8
2	40	8
3	63	8
4	102	8
5	168	8
6	273	8
7	329	8
8	382	8
9	384	8
0	384	8

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Outputs
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))

Symmetry

(abs x)

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.6%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify26.0ms (0.2%)

Memory

-0.6MiB live, 29.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(exp.f64 (neg.f64 x))
cost-diff	0	(exp.f64 x)
cost-diff	0	(-.f64 (exp.f64 x) #s(literal 2 binary64))
cost-diff	0	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Rules

244×	`lower-fma.f64`
244×	`lower-fma.f32`
104×	`lower-+.f32`
102×	`lower-+.f64`
102×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	21
0	12	21
1	24	21
2	40	21
3	63	21
4	102	21
5	168	21
6	273	21
7	329	21
8	382	21
9	384	21
0	384	21

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
x
#s(literal 2 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)

Outputs
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(exp.f64 x)
x
#s(literal 2 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)

localize188.0ms (1.4%)

Memory

15.9MiB live, 196.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 (neg.f64 x))
accuracy	0	(exp.f64 x)
accuracy	0.02734375	(-.f64 (exp.f64 x) #s(literal 2 binary64))
accuracy	30.30321226573987	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Samples

148.0ms	181×	2	valid
21.0ms	71×	1	valid
0.0ms	4×	0	valid

Compiler

Compiled 23 to 9 computations (60.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 157.0ms

ival-exp: 141.0ms (89.9% of total)

adjust: 8.0ms (5.1% of total)

ival-sub: 4.0ms (2.5% of total)

ival-add: 3.0ms (1.9% of total)

ival-neg: 1.0ms (0.6% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series2.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))>
#<alt (-.f64 (exp.f64 x) #s(literal 2 binary64))>
#<alt (exp.f64 x)>
#<alt (exp.f64 (neg.f64 x))>

Outputs
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt -1>
#<alt (- x 1)>
#<alt (- (* x (+ 1 (* 1/2 x))) 1)>
#<alt (- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) (exp (neg x)))
0.0ms	x	@	inf	((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) (exp (neg x)))
0.0ms	x	@	-inf	((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) (exp (neg x)))

Time

Variable

Point

Expression

1.0ms

((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) (exp (neg x)))

0.0ms

inf

((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) (exp (neg x)))

0.0ms

-inf

((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) (exp (neg x)))

simplify275.0ms (2.1%)

Memory

22.2MiB live, 492.9MiB allocated

Algorithm

1×	egg-herbie

Rules

17 068×	`lower-fma.f64`
17 068×	`lower-fma.f32`
3 466×	`lower-+.f64`
3 466×	`lower-+.f32`
3 160×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	269
1	168	268
2	397	262
3	1060	262
4	1759	262
5	3027	262
6	3849	262
7	5284	262
8	6683	262
0	8227	241

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
-1
(- x 1)
(- (* x (+ 1 (* 1/2 x))) 1)
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(exp x)
(exp x)
(exp x)
(exp x)
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(exp x)
(exp x)
(exp x)
(exp x)
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))

Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x x)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x))
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- (* x (+ 1 (* 1/2 x))) 1)
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(- (+ (exp x) (exp (neg x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (exp (neg x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (exp (neg x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (exp (neg x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(- (+ (exp x) (exp (* -1 x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (exp (* -1 x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (exp (* -1 x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (exp (* -1 x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))

rewrite264.0ms (2%)

Memory

-19.9MiB live, 444.1MiB allocated

Rules

3 586×	`lower-*.f64`
3 586×	`lower-*.f32`
3 204×	`lower-/.f64`
3 204×	`lower-/.f32`
2 998×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
0	12	17
1	51	17
2	394	17
3	6866	15
0	8047	14

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

4 → 245

Calls

Call 1

Inputs
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
(exp.f64 (neg.f64 x))

Outputs
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(+.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(+.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (neg.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))))))
(+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64))
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)) (exp.f64 x))
(-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))
(-.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) (neg.f64 (exp.f64 (neg.f64 x))))
(-.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (exp.f64 (neg.f64 x))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (exp.f64 (neg.f64 x))))
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (-.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (exp.f64 (+.f64 x x)))) (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (-.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (exp.f64 (+.f64 x x)))))
(-.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (-.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))) (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))))
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(/.f64 (.f64 (+.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) #s(literal -64 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 8 binary64)) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (.f64 (+.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) #s(literal -16 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (.f64 (+.f64 (exp.f64 (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) #s(literal -512 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) (fma.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 8 binary64) #s(literal 64 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 8 binary64))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (exp.f64 (+.f64 x x))) #s(literal 4 binary64))) (neg.f64 (+.f64 #s(literal -2 binary64) (neg.f64 (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)))))))
(/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -2 binary64) (exp.f64 x)))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))))) (+.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) (.f64 (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))))) (+.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)))))
(/.f64 (.f64 (+.f64 (exp.f64 (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) #s(literal -512 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (+.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) (fma.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 8 binary64) #s(literal 64 binary64))))
(/.f64 (.f64 (+.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 8 binary64)))
(/.f64 (.f64 (+.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) (+.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64) #s(literal 16 binary64))))
(/.f64 (*.f64 (+.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 4 binary64) (.f64 (exp.f64 x) #s(literal -2 binary64)))) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))))
(.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal -2 binary64))))))
(.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 (+.f64 (neg.f64 (exp.f64 (.f64 x #s(literal 3 binary64)))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(*.f64 (+.f64 (neg.f64 (exp.f64 (+.f64 x x))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (neg.f64 (exp.f64 x)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)))
(*.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64))) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(.f64 (/.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)) (exp.f64 (+.f64 x x))) (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x)))))
(.f64 (/.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (-.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 2 binary64)))) (-.f64 (exp.f64 (+.f64 x x)) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))))
(.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 8 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (fma.f64 (exp.f64 x) #s(literal -2 binary64) #s(literal 4 binary64))))
(exp.f64 x)
(/.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 (neg.f64 x))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x))
(neg.f64 (neg.f64 (exp.f64 (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(pow.f64 (neg.f64 (neg.f64 (exp.f64 x))) #s(literal -1 binary64))
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x))))
(*.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))))

eval35.0ms (0.3%)

Memory: 9.4MiB live, 85.4MiB allocated
Compiler: Compiled 6 883 to 793 computations (88.5% saved)

prune45.0ms (0.3%)

Memory

-9.4MiB live, 112.8MiB allocated

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	280	13	293
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	280	14	294

Accuracy

100.0%

Counts

294 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.2%	(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
	5.8%	(fma.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (exp.f64 x) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (neg.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))))))
	5.8%	(fma.f64 (/.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (+.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)) (exp.f64 (+.f64 x x))) (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x)))) (exp.f64 (neg.f64 x)))
▶	5.9%	(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (exp.f64 (neg.f64 x)))
▶	52.6%	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
	53.1%	(/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))))
	52.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))))
	52.7%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
✓	52.6%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
▶	53.1%	(.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))))
	99.5%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal 1 binary64))))
▶	99.7%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x)))
	99.2%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x x)) x)))
▶	98.9%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 551 to 307 computations (44.3% saved)

simplify250.0ms (1.9%)

Memory

0.1MiB live, 353.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(exp.f64 x)
cost-diff	192	(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))))
cost-diff	6784	(fma.f64 (exp.f64 x) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))
cost-diff	13504	(.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))))
cost-diff	0	(exp.f64 x)
cost-diff	0	(fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))
cost-diff	192	(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (exp.f64 (neg.f64 x)))
cost-diff	0	(cosh.f64 x)
cost-diff	0	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
cost-diff	0	(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
cost-diff	0	(fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)
cost-diff	0	(.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x))
cost-diff	0	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x)))

Rules

9 014×	`lower-fma.f32`
9 000×	`lower-fma.f64`
3 742×	`lower-*.f32`
3 726×	`lower-*.f64`
1 712×	`lower-neg.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	306
0	72	289
1	154	286
2	356	286
3	943	275
4	2918	275
5	5154	275
0	8172	274

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x)))
(.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x))
x
(fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))
(*.f64 x #s(literal 1/20160 binary64))
#s(literal 1/20160 binary64)
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
(.f64 x (.f64 x x))
(*.f64 x x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(*.f64 x x)
x
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
#s(literal 2 binary64)
(cosh.f64 x)
x
#s(literal -2 binary64)
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (exp.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))
#s(literal 1 binary64)
(fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))
(exp.f64 x)
x
(+.f64 (exp.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
(+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))
(exp.f64 (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal -8 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(fma.f64 (exp.f64 x) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(exp.f64 x)
x
(+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))
(exp.f64 (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal -8 binary64)
(fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))
(+.f64 (exp.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))))
#s(literal 1 binary64)
(*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (.f64 x (fma.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x))
(.f64 x (.f64 x (fma.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64))))
x
(fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)
(.f64 x (fma.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
(fma.f64 (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))
(*.f64 x #s(literal 1/20160 binary64))
#s(literal 1/20160 binary64)
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
(.f64 x (.f64 x x))
(*.f64 x x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(*.f64 x x)
x
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
#s(literal 2 binary64)
(cosh.f64 x)
x
#s(literal -2 binary64)
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))
#s(literal 1 binary64)
(fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))
(fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))
(exp.f64 x)
x
(+.f64 (exp.f64 x) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (exp.f64 x))
#s(literal 2 binary64)
#s(literal 4 binary64)
(+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))
(exp.f64 (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal -8 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))))
(fma.f64 (exp.f64 x) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -6 binary64)) (+.f64 #s(literal 4 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64)))))
(exp.f64 x)
x
(+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))
(exp.f64 (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal -8 binary64)
(fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))
(fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))
(+.f64 (exp.f64 x) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (exp.f64 x))
#s(literal 2 binary64)
#s(literal 4 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))
#s(literal 1 binary64)
(*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))

localize465.0ms (3.6%)

Memory

8.4MiB live, 659.5MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(+.f64 (exp.f64 x) #s(literal 2 binary64))
accuracy	0.025722509768442016	(*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))
accuracy	0.1953125	(.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))))
accuracy	30.154554091971427	(fma.f64 (exp.f64 x) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))
accuracy	0.0078125	(+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))
accuracy	0.01171875	(/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))
accuracy	0.01953125	(+.f64 (exp.f64 x) #s(literal 2 binary64))
accuracy	60.28292189473403	(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (exp.f64 (neg.f64 x)))
accuracy	0	(cosh.f64 x)
accuracy	30.35931058887076	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.7188473567674378	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
accuracy	0.015625	(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
accuracy	0.0703125	(.f64 x (.f64 x x))
accuracy	0.16272191091523197	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x)))
accuracy	0.26171875	(.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))

Samples

315.0ms	182×	2	valid
79.0ms	70×	1	valid
1.0ms	4×	0	valid

Compiler

Compiled 306 to 45 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 345.0ms

ival-exp: 86.0ms (24.9% of total)

ival-mult: 63.0ms (18.3% of total)

const: 60.0ms (17.4% of total)

ival-cosh: 50.0ms (14.5% of total)

adjust: 44.0ms (12.8% of total)

ival-add: 27.0ms (7.8% of total)

ival-div: 9.0ms (2.6% of total)

ival-sub: 4.0ms (1.2% of total)

exact: 1.0ms (0.3% of total)

ival-neg: 1.0ms (0.3% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series28.0ms (0.2%)

Memory

7.5MiB live, 44.7MiB allocated

Counts

20 → 240

Calls

Call 1

Inputs
#<alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x)))>
#<alt (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x))>
#<alt (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)>
#<alt (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))>
#<alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))>
#<alt (*.f64 x x)>
#<alt (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))>
#<alt (cosh.f64 x)>
#<alt (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (exp.f64 (neg.f64 x)))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))>
#<alt (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))>
#<alt (exp.f64 x)>
#<alt (.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))))>
#<alt (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))))>
#<alt (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))>
#<alt (.f64 x (.f64 x x))>
#<alt (+.f64 (exp.f64 x) #s(literal 2 binary64))>
#<alt (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))>
#<alt (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))>

Outputs
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt 1/12>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))>
#<alt (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt 1/7>
#<alt (+ 1/7 (* -4/49 x))>
#<alt (+ 1/7 (* x (- (* -5/343 x) 4/49)))>
#<alt (+ 1/7 (* x (- (* x (- (* 67/7203 x) 5/343)) 4/49)))>
#<alt 7>
#<alt (+ 7 (* 4 x))>
#<alt (+ 7 (* x (+ 4 (* 3 x))))>
#<alt (+ 7 (* x (+ 4 (* x (+ 3 (* 5/3 x))))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (* 7 (pow x 2))>
#<alt (* (pow x 2) (+ 7 (* 11 x)))>
#<alt (* (pow x 2) (+ 7 (* x (+ 11 (* 133/12 x)))))>
#<alt (* (pow x 2) (+ 7 (* x (+ 11 (* x (+ 133/12 (* 35/4 x)))))))>
#<alt 1/7>
#<alt (+ 1/7 (* -11/49 x))>
#<alt (+ 1/7 (* x (- (* 95/686 x) 11/49)))>
#<alt (+ 1/7 (* x (- (* x (+ 95/686 (* -587/14406 x))) 11/49)))>
#<alt (* 1/360 x)>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt 3>
#<alt (+ 3 x)>
#<alt (+ 3 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 3 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt -7>
#<alt (- (* 3 x) 7)>
#<alt (- (* x (+ 3 (* 9/2 x))) 7)>
#<alt (- (* x (+ 3 (* x (+ 9/2 (* 9/2 x))))) 7)>
#<alt 7>
#<alt (+ 7 (* 11 x))>
#<alt (+ 7 (* x (+ 11 (* 21/2 x))))>
#<alt (+ 7 (* x (+ 11 (* x (+ 21/2 (* 47/6 x))))))>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 7))>
#<alt (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (- (+ (exp (neg x)) (/ (exp (* 3 x)) (+ 4 (* (exp x) (+ 2 (exp x)))))) (* 8 (/ 1 (+ 4 (* (exp x) (+ 2 (exp x)))))))>
#<alt (- (+ (exp (neg x)) (/ (exp (* 3 x)) (+ 4 (* (exp x) (+ 2 (exp x)))))) (* 8 (/ 1 (+ 4 (* (exp x) (+ 2 (exp x)))))))>
#<alt (- (+ (exp (neg x)) (/ (exp (* 3 x)) (+ 4 (* (exp x) (+ 2 (exp x)))))) (* 8 (/ 1 (+ 4 (* (exp x) (+ 2 (exp x)))))))>
#<alt (- (+ (exp (neg x)) (/ (exp (* 3 x)) (+ 4 (* (exp x) (+ 2 (exp x)))))) (* 8 (/ 1 (+ 4 (* (exp x) (+ 2 (exp x)))))))>
#<alt (/ 1 (+ 4 (* (exp x) (+ 2 (exp x)))))>
#<alt (/ 1 (+ 4 (* (exp x) (+ 2 (exp x)))))>
#<alt (/ 1 (+ 4 (* (exp x) (+ 2 (exp x)))))>
#<alt (/ 1 (+ 4 (* (exp x) (+ 2 (exp x)))))>
#<alt (+ 4 (* (exp x) (+ 2 (exp x))))>
#<alt (+ 4 (* (exp x) (+ 2 (exp x))))>
#<alt (+ 4 (* (exp x) (+ 2 (exp x))))>
#<alt (+ 4 (* (exp x) (+ 2 (exp x))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (/ (+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8)))) (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))>
#<alt (/ (+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8)))) (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))>
#<alt (/ (+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8)))) (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))>
#<alt (/ (+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8)))) (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))>
#<alt (+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))>
#<alt (+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))>
#<alt (+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))>
#<alt (+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))>
#<alt (/ 1 (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))>
#<alt (/ 1 (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))>
#<alt (/ 1 (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))>
#<alt (/ 1 (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (+ 2 (exp x))>
#<alt (+ 2 (exp x))>
#<alt (+ 2 (exp x))>
#<alt (+ 2 (exp x))>
#<alt (- (exp (* 3 x)) 8)>
#<alt (- (exp (* 3 x)) 8)>
#<alt (- (exp (* 3 x)) 8)>
#<alt (- (exp (* 3 x)) 8)>
#<alt (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))>
#<alt (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))>
#<alt (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))>
#<alt (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 7))>
#<alt (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (- (+ (exp (* -1 x)) (/ (exp (* 3 x)) (+ 4 (* (exp x) (+ 2 (exp x)))))) (* 8 (/ 1 (+ 4 (* (exp x) (+ 2 (exp x)))))))>
#<alt (- (+ (exp (* -1 x)) (/ (exp (* 3 x)) (+ 4 (* (exp x) (+ 2 (exp x)))))) (* 8 (/ 1 (+ 4 (* (exp x) (+ 2 (exp x)))))))>
#<alt (- (+ (exp (* -1 x)) (/ (exp (* 3 x)) (+ 4 (* (exp x) (+ 2 (exp x)))))) (* 8 (/ 1 (+ 4 (* (exp x) (+ 2 (exp x)))))))>
#<alt (- (+ (exp (* -1 x)) (/ (exp (* 3 x)) (+ 4 (* (exp x) (+ 2 (exp x)))))) (* 8 (/ 1 (+ 4 (* (exp x) (+ 2 (exp x)))))))>
#<alt (/ 1 (+ 4 (* (exp x) (+ 2 (exp x)))))>
#<alt (/ 1 (+ 4 (* (exp x) (+ 2 (exp x)))))>
#<alt (/ 1 (+ 4 (* (exp x) (+ 2 (exp x)))))>
#<alt (/ 1 (+ 4 (* (exp x) (+ 2 (exp x)))))>
#<alt (+ 4 (* (exp x) (+ 2 (exp x))))>
#<alt (+ 4 (* (exp x) (+ 2 (exp x))))>
#<alt (+ 4 (* (exp x) (+ 2 (exp x))))>
#<alt (+ 4 (* (exp x) (+ 2 (exp x))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (/ (+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8)))) (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))>
#<alt (/ (+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8)))) (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))>
#<alt (/ (+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8)))) (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))>
#<alt (/ (+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8)))) (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))>
#<alt (+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))>
#<alt (+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))>
#<alt (+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))>
#<alt (+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))>
#<alt (/ 1 (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))>
#<alt (/ 1 (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))>
#<alt (/ 1 (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))>
#<alt (/ 1 (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (+ 2 (exp x))>
#<alt (+ 2 (exp x))>
#<alt (+ 2 (exp x))>
#<alt (+ 2 (exp x))>
#<alt (- (exp (* 3 x)) 8)>
#<alt (- (exp (* 3 x)) 8)>
#<alt (- (exp (* 3 x)) 8)>
#<alt (- (exp (* 3 x)) 8)>
#<alt (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))>
#<alt (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))>
#<alt (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))>
#<alt (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))>

Calls

3 calls:

Time

Variable

Point

Expression

13.0ms

inf

((+ (- (exp x) 2) (exp (neg x))) (* x (+ (* (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) (* x (* x x))) x)) (+ (* (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) (* x (* x x))) x) (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) (+ (- (exp x) 2) (exp (neg x))) (* x x) (+ (* 2 (cosh x)) -2) (cosh x) (+ (* (/ 1 (+ (* (exp x) (+ (exp x) 2)) 4)) (+ (exp (* x 3)) -8)) (exp (neg x))) (/ 1 (+ (* (exp x) (+ (exp x) 2)) 4)) (+ (* (exp x) (+ (exp x) 2)) 4) (exp x) (* (+ (* (exp x) (+ (exp (* x 3)) -8)) (+ (* (exp x) (+ (exp x) 2)) 4)) (/ 1 (* (exp x) (+ (* (exp x) (+ (exp x) 2)) 4)))) (+ (* (exp x) (+ (exp (* x 3)) -8)) (+ (* (exp x) (+ (exp x) 2)) 4)) (/ 1 (* (exp x) (+ (* (exp x) (+ (exp x) 2)) 4))) (* x (+ (* x (* x 1/20160)) 1/360)) (* x (* x x)) (+ (exp x) 2) (+ (exp (* x 3)) -8) (* (exp x) (+ (* (exp x) (+ (exp x) 2)) 4)))

8.0ms

-inf

((+ (- (exp x) 2) (exp (neg x))) (* x (+ (* (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) (* x (* x x))) x)) (+ (* (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) (* x (* x x))) x) (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) (+ (- (exp x) 2) (exp (neg x))) (* x x) (+ (* 2 (cosh x)) -2) (cosh x) (+ (* (/ 1 (+ (* (exp x) (+ (exp x) 2)) 4)) (+ (exp (* x 3)) -8)) (exp (neg x))) (/ 1 (+ (* (exp x) (+ (exp x) 2)) 4)) (+ (* (exp x) (+ (exp x) 2)) 4) (exp x) (* (+ (* (exp x) (+ (exp (* x 3)) -8)) (+ (* (exp x) (+ (exp x) 2)) 4)) (/ 1 (* (exp x) (+ (* (exp x) (+ (exp x) 2)) 4)))) (+ (* (exp x) (+ (exp (* x 3)) -8)) (+ (* (exp x) (+ (exp x) 2)) 4)) (/ 1 (* (exp x) (+ (* (exp x) (+ (exp x) 2)) 4))) (* x (+ (* x (* x 1/20160)) 1/360)) (* x (* x x)) (+ (exp x) 2) (+ (exp (* x 3)) -8) (* (exp x) (+ (* (exp x) (+ (exp x) 2)) 4)))

4.0ms

((+ (- (exp x) 2) (exp (neg x))) (* x (+ (* (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) (* x (* x x))) x)) (+ (* (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) (* x (* x x))) x) (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) (+ (- (exp x) 2) (exp (neg x))) (* x x) (+ (* 2 (cosh x)) -2) (cosh x) (+ (* (/ 1 (+ (* (exp x) (+ (exp x) 2)) 4)) (+ (exp (* x 3)) -8)) (exp (neg x))) (/ 1 (+ (* (exp x) (+ (exp x) 2)) 4)) (+ (* (exp x) (+ (exp x) 2)) 4) (exp x) (* (+ (* (exp x) (+ (exp (* x 3)) -8)) (+ (* (exp x) (+ (exp x) 2)) 4)) (/ 1 (* (exp x) (+ (* (exp x) (+ (exp x) 2)) 4)))) (+ (* (exp x) (+ (exp (* x 3)) -8)) (+ (* (exp x) (+ (exp x) 2)) 4)) (/ 1 (* (exp x) (+ (* (exp x) (+ (exp x) 2)) 4))) (* x (+ (* x (* x 1/20160)) 1/360)) (* x (* x x)) (+ (exp x) 2) (+ (exp (* x 3)) -8) (* (exp x) (+ (* (exp x) (+ (exp x) 2)) 4)))

simplify290.0ms (2.2%)

Memory

19.8MiB live, 447.8MiB allocated

Algorithm

1×	egg-herbie

Rules

14 126×	`lower-fma.f64`
14 126×	`lower-fma.f32`
3 862×	`lower-*.f64`
3 862×	`lower-*.f32`
3 440×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	225	2470
1	673	2428
2	1625	2393
3	4270	2392
4	6768	2392
0	8121	2202

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 239

Calls

Call 1

Inputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
1/7
(+ 1/7 (* -4/49 x))
(+ 1/7 (* x (- (* -5/343 x) 4/49)))
(+ 1/7 (* x (- (* x (- (* 67/7203 x) 5/343)) 4/49)))
7
(+ 7 (* 4 x))
(+ 7 (* x (+ 4 (* 3 x))))
(+ 7 (* x (+ 4 (* x (+ 3 (* 5/3 x))))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 7 (pow x 2))
(* (pow x 2) (+ 7 (* 11 x)))
(* (pow x 2) (+ 7 (* x (+ 11 (* 133/12 x)))))
(* (pow x 2) (+ 7 (* x (+ 11 (* x (+ 133/12 (* 35/4 x)))))))
1/7
(+ 1/7 (* -11/49 x))
(+ 1/7 (* x (- (* 95/686 x) 11/49)))
(+ 1/7 (* x (- (* x (+ 95/686 (* -587/14406 x))) 11/49)))
(* 1/360 x)
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
3
(+ 3 x)
(+ 3 (* x (+ 1 (* 1/2 x))))
(+ 3 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
-7
(- (* 3 x) 7)
(- (* x (+ 3 (* 9/2 x))) 7)
(- (* x (+ 3 (* x (+ 9/2 (* 9/2 x))))) 7)
7
(+ 7 (* 11 x))
(+ 7 (* x (+ 11 (* 21/2 x))))
(+ 7 (* x (+ 11 (* x (+ 21/2 (* 47/6 x))))))
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 7))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(- (+ (exp (neg x)) (/ (exp (* 3 x)) (+ 4 (* (exp x) (+ 2 (exp x)))))) (* 8 (/ 1 (+ 4 (* (exp x) (+ 2 (exp x)))))))
(- (+ (exp (neg x)) (/ (exp (* 3 x)) (+ 4 (* (exp x) (+ 2 (exp x)))))) (* 8 (/ 1 (+ 4 (* (exp x) (+ 2 (exp x)))))))
(- (+ (exp (neg x)) (/ (exp (* 3 x)) (+ 4 (* (exp x) (+ 2 (exp x)))))) (* 8 (/ 1 (+ 4 (* (exp x) (+ 2 (exp x)))))))
(- (+ (exp (neg x)) (/ (exp (* 3 x)) (+ 4 (* (exp x) (+ 2 (exp x)))))) (* 8 (/ 1 (+ 4 (* (exp x) (+ 2 (exp x)))))))
(/ 1 (+ 4 (* (exp x) (+ 2 (exp x)))))
(/ 1 (+ 4 (* (exp x) (+ 2 (exp x)))))
(/ 1 (+ 4 (* (exp x) (+ 2 (exp x)))))
(/ 1 (+ 4 (* (exp x) (+ 2 (exp x)))))
(+ 4 (* (exp x) (+ 2 (exp x))))
(+ 4 (* (exp x) (+ 2 (exp x))))
(+ 4 (* (exp x) (+ 2 (exp x))))
(+ 4 (* (exp x) (+ 2 (exp x))))
(exp x)
(exp x)
(exp x)
(exp x)
(/ (+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8)))) (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(/ (+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8)))) (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(/ (+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8)))) (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(/ (+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8)))) (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))
(+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))
(+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))
(+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))
(/ 1 (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(/ 1 (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(/ 1 (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(/ 1 (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(* 1/20160 (pow x 3))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(+ 2 (exp x))
(+ 2 (exp x))
(+ 2 (exp x))
(+ 2 (exp x))
(- (exp (* 3 x)) 8)
(- (exp (* 3 x)) 8)
(- (exp (* 3 x)) 8)
(- (exp (* 3 x)) 8)
(* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))
(* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))
(* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))
(* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 7))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(- (+ (exp (* -1 x)) (/ (exp (* 3 x)) (+ 4 (* (exp x) (+ 2 (exp x)))))) (* 8 (/ 1 (+ 4 (* (exp x) (+ 2 (exp x)))))))
(- (+ (exp (* -1 x)) (/ (exp (* 3 x)) (+ 4 (* (exp x) (+ 2 (exp x)))))) (* 8 (/ 1 (+ 4 (* (exp x) (+ 2 (exp x)))))))
(- (+ (exp (* -1 x)) (/ (exp (* 3 x)) (+ 4 (* (exp x) (+ 2 (exp x)))))) (* 8 (/ 1 (+ 4 (* (exp x) (+ 2 (exp x)))))))
(- (+ (exp (* -1 x)) (/ (exp (* 3 x)) (+ 4 (* (exp x) (+ 2 (exp x)))))) (* 8 (/ 1 (+ 4 (* (exp x) (+ 2 (exp x)))))))
(/ 1 (+ 4 (* (exp x) (+ 2 (exp x)))))
(/ 1 (+ 4 (* (exp x) (+ 2 (exp x)))))
(/ 1 (+ 4 (* (exp x) (+ 2 (exp x)))))
(/ 1 (+ 4 (* (exp x) (+ 2 (exp x)))))
(+ 4 (* (exp x) (+ 2 (exp x))))
(+ 4 (* (exp x) (+ 2 (exp x))))
(+ 4 (* (exp x) (+ 2 (exp x))))
(+ 4 (* (exp x) (+ 2 (exp x))))
(exp x)
(exp x)
(exp x)
(exp x)
(/ (+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8)))) (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(/ (+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8)))) (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(/ (+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8)))) (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(/ (+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8)))) (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))
(+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))
(+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))
(+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))
(/ 1 (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(/ 1 (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(/ 1 (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(/ 1 (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(* 1/20160 (pow x 3))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(+ 2 (exp x))
(+ 2 (exp x))
(+ 2 (exp x))
(+ 2 (exp x))
(- (exp (* 3 x)) 8)
(- (exp (* 3 x)) 8)
(- (exp (* 3 x)) 8)
(- (exp (* 3 x)) 8)
(* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))
(* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))
(* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))
(* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))

Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)
1/12
#s(literal 1/12 binary64)
(+ 1/12 (* 1/360 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x))
1/7
#s(literal 1/7 binary64)
(+ 1/7 (* -4/49 x))
(fma.f64 x #s(literal -4/49 binary64) #s(literal 1/7 binary64))
(+ 1/7 (* x (- (* -5/343 x) 4/49)))
(fma.f64 x (fma.f64 x #s(literal -5/343 binary64) #s(literal -4/49 binary64)) #s(literal 1/7 binary64))
(+ 1/7 (* x (- (* x (- (* 67/7203 x) 5/343)) 4/49)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 67/7203 binary64) #s(literal -5/343 binary64)) #s(literal -4/49 binary64)) #s(literal 1/7 binary64))
7
#s(literal 7 binary64)
(+ 7 (* 4 x))
(fma.f64 x #s(literal 4 binary64) #s(literal 7 binary64))
(+ 7 (* x (+ 4 (* 3 x))))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)) #s(literal 7 binary64))
(+ 7 (* x (+ 4 (* x (+ 3 (* 5/3 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 5/3 binary64) #s(literal 3 binary64)) #s(literal 4 binary64)) #s(literal 7 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x))
(* 7 (pow x 2))
(.f64 (.f64 x x) #s(literal 7 binary64))
(* (pow x 2) (+ 7 (* 11 x)))
(.f64 (.f64 x x) (fma.f64 x #s(literal 11 binary64) #s(literal 7 binary64)))
(* (pow x 2) (+ 7 (* x (+ 11 (* 133/12 x)))))
(.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 133/12 binary64) #s(literal 11 binary64)) #s(literal 7 binary64))))
(* (pow x 2) (+ 7 (* x (+ 11 (* x (+ 133/12 (* 35/4 x)))))))
(.f64 (.f64 x x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 35/4 binary64) #s(literal 133/12 binary64)) #s(literal 11 binary64)) #s(literal 7 binary64)))
1/7
#s(literal 1/7 binary64)
(+ 1/7 (* -11/49 x))
(fma.f64 x #s(literal -11/49 binary64) #s(literal 1/7 binary64))
(+ 1/7 (* x (- (* 95/686 x) 11/49)))
(fma.f64 x (fma.f64 x #s(literal 95/686 binary64) #s(literal -11/49 binary64)) #s(literal 1/7 binary64))
(+ 1/7 (* x (- (* x (+ 95/686 (* -587/14406 x))) 11/49)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -587/14406 binary64) #s(literal 95/686 binary64)) #s(literal -11/49 binary64)) #s(literal 1/7 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
3
#s(literal 3 binary64)
(+ 3 x)
(+.f64 x #s(literal 3 binary64))
(+ 3 (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))
(+ 3 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))
-7
#s(literal -7 binary64)
(- (* 3 x) 7)
(fma.f64 x #s(literal 3 binary64) #s(literal -7 binary64))
(- (* x (+ 3 (* 9/2 x))) 7)
(fma.f64 x (fma.f64 x #s(literal 9/2 binary64) #s(literal 3 binary64)) #s(literal -7 binary64))
(- (* x (+ 3 (* x (+ 9/2 (* 9/2 x))))) 7)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 9/2 binary64) #s(literal 9/2 binary64)) #s(literal 3 binary64)) #s(literal -7 binary64))
7
#s(literal 7 binary64)
(+ 7 (* 11 x))
(fma.f64 x #s(literal 11 binary64) #s(literal 7 binary64))
(+ 7 (* x (+ 11 (* 21/2 x))))
(fma.f64 x (fma.f64 x #s(literal 21/2 binary64) #s(literal 11 binary64)) #s(literal 7 binary64))
(+ 7 (* x (+ 11 (* x (+ 21/2 (* 47/6 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 47/6 binary64) #s(literal 21/2 binary64)) #s(literal 11 binary64)) #s(literal 7 binary64))
(- (+ (exp x) (exp (neg x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (exp (neg x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (exp (neg x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (exp (neg x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(* 1/20160 (pow x 8))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1/360 binary64) (.f64 x x)) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/360 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (.f64 x x))))))))
(* 1/20160 (pow x 7))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1/360 binary64) (.f64 x x)) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (+.f64 (/.f64 #s(literal 1/360 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (.f64 x x))))))) (pow.f64 x #s(literal 7 binary64)))
(* 1/20160 (pow x 4))
(.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
(- (+ (exp x) (exp (neg x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (exp (neg x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (exp (neg x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (exp (neg x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(- (+ (exp (neg x)) (/ (exp (* 3 x)) (+ 4 (* (exp x) (+ 2 (exp x)))))) (* 8 (/ 1 (+ 4 (* (exp x) (+ 2 (exp x)))))))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))) (/.f64 #s(literal -8 binary64) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))))
(- (+ (exp (neg x)) (/ (exp (* 3 x)) (+ 4 (* (exp x) (+ 2 (exp x)))))) (* 8 (/ 1 (+ 4 (* (exp x) (+ 2 (exp x)))))))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))) (/.f64 #s(literal -8 binary64) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))))
(- (+ (exp (neg x)) (/ (exp (* 3 x)) (+ 4 (* (exp x) (+ 2 (exp x)))))) (* 8 (/ 1 (+ 4 (* (exp x) (+ 2 (exp x)))))))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))) (/.f64 #s(literal -8 binary64) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))))
(- (+ (exp (neg x)) (/ (exp (* 3 x)) (+ 4 (* (exp x) (+ 2 (exp x)))))) (* 8 (/ 1 (+ 4 (* (exp x) (+ 2 (exp x)))))))
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(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(+ 2 (exp x))
(+.f64 #s(literal 2 binary64) (exp.f64 x))
(+ 2 (exp x))
(+.f64 #s(literal 2 binary64) (exp.f64 x))
(+ 2 (exp x))
(+.f64 #s(literal 2 binary64) (exp.f64 x))
(+ 2 (exp x))
(+.f64 #s(literal 2 binary64) (exp.f64 x))
(- (exp (* 3 x)) 8)
(+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))
(- (exp (* 3 x)) 8)
(+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))
(- (exp (* 3 x)) 8)
(+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))
(- (exp (* 3 x)) 8)
(+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))
(* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))
(*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))
(* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))
(*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))
(* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))
(*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))
(* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))
(*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))

rewrite390.0ms (3%)

Memory

-19.6MiB live, 546.4MiB allocated

Rules

5 002×	`lower-*.f32`
4 986×	`lower-*.f64`
3 620×	`lower-/.f32`
3 616×	`lower-/.f64`
3 318×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	235
0	72	194
1	293	178
2	2476	178
0	8257	177

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

20 → 1 201

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x)))
(.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(*.f64 x x)
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
(cosh.f64 x)
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (exp.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))
(exp.f64 x)
(.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(fma.f64 (exp.f64 x) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))
(.f64 x (.f64 x x))
(+.f64 (exp.f64 x) #s(literal 2 binary64))
(+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))
(*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x)))
(+.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 (.f64 x (*.f64 x x)) x)))
(+.f64 (.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x)) (*.f64 x x))
(fma.f64 x x (.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x)))
(fma.f64 x (.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x))) (.f64 x x))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x) (.f64 x x))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) (.f64 x x))
(fma.f64 (.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x))) x (.f64 x x))
(fma.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) (.f64 x (.f64 x x)) (.f64 x x))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x x))
(fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))) (.f64 x x) (.f64 x x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x)))
(/.f64 (fma.f64 (.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x)) (.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))) (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x))) (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))) (.f64 x x) (-.f64 (.f64 (.f64 x (.f64 x x)) x) (.f64 (.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x)) (*.f64 x x)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))) (.f64 x x)) (.f64 (.f64 x (.f64 x x)) x)) (-.f64 (.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x)) (*.f64 x x)))
(/.f64 (.f64 x (fma.f64 (.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))) (.f64 x (.f64 x x)))) (fma.f64 x (-.f64 x (.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))))))
(/.f64 (.f64 x (.f64 (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x) (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) (neg.f64 x)))) (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) (neg.f64 x)))
(/.f64 (.f64 (fma.f64 (.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))) (.f64 x (.f64 x x))) x) (fma.f64 x (-.f64 x (.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))))))
(/.f64 (.f64 (.f64 (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x) (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) (neg.f64 x))) x) (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) (neg.f64 x)))
(.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x))
(.f64 (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x) x)
(+.f64 x (.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x))))
(+.f64 (.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x))) x)
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))) (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) (neg.f64 x))))
(fma.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x)
(fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x)
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) x)
(fma.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) (.f64 x x) x)
(fma.f64 (.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x x)) x x)
(fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x) x x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))))) (fma.f64 (.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) (neg.f64 x)) (.f64 (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x) (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) (neg.f64 x)))))
(/.f64 (fma.f64 (.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))) (.f64 x (.f64 x x))) (fma.f64 x (-.f64 x (.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))))))
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(fma.f64 x #s(literal 1/360 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/20160 binary64)))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/20160 binary64))) (*.f64 x #s(literal 1/360 binary64)))
(fma.f64 (.f64 x #s(literal 1/20160 binary64)) (.f64 x x) (*.f64 x #s(literal 1/360 binary64)))
(fma.f64 #s(literal 1/360 binary64) x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/20160 binary64)))
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/20160 binary64)) (*.f64 x #s(literal 1/360 binary64)))
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(/.f64 (.f64 x (fma.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)))
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(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)))
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(.f64 (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
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(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(+.f64 #s(literal 2 binary64) (exp.f64 x))
(+.f64 (exp.f64 x) #s(literal 2 binary64))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal -2 binary64) (exp.f64 x))) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal -2 binary64) (exp.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (exp.f64 x)))) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (exp.f64 x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64))))
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(/.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (exp.f64 (+.f64 x x)) (.f64 #s(literal 2 binary64) (exp.f64 x)))))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 #s(literal -2 binary64) (exp.f64 x)))
(/.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64))) (neg.f64 (+.f64 #s(literal -2 binary64) (exp.f64 x))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 8 binary64))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (exp.f64 x))))))
(/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 2 binary64) (exp.f64 x)))
(/.f64 (-.f64 (.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal -2 binary64) (exp.f64 x))) (.f64 (+.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal 2 binary64)))
(pow.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (exp.f64 x)))) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal -2 binary64) (exp.f64 x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64))) #s(literal -1 binary64))
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(*.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (exp.f64 x))))
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(.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))
(+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))
(+.f64 #s(literal -8 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))
(+.f64 #s(literal -8 binary64) (.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))))
(+.f64 #s(literal -8 binary64) (.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))) #s(literal -8 binary64))
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(-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 8 binary64))
(-.f64 (/.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 8 binary64))) (/.f64 #s(literal 64 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 8 binary64))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))
(fma.f64 (exp.f64 x) (exp.f64 (+.f64 x x)) #s(literal -8 binary64))
(fma.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64) #s(literal -8 binary64))
(fma.f64 (exp.f64 (+.f64 x x)) (exp.f64 x) #s(literal -8 binary64))
(fma.f64 (exp.f64 (.f64 x #s(literal 3/2 binary64))) (exp.f64 (.f64 x #s(literal 3/2 binary64))) #s(literal -8 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (-.f64 #s(literal 64 binary64) (.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)))) (+.f64 (exp.f64 (.f64 x #s(literal 9 binary64))) #s(literal -512 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 8 binary64)) (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) #s(literal -64 binary64))))
(/.f64 (+.f64 (exp.f64 (.f64 x #s(literal 9 binary64))) #s(literal -512 binary64)) (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (-.f64 #s(literal 64 binary64) (.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)))))
(/.f64 (+.f64 (exp.f64 (.f64 x #s(literal 9 binary64))) #s(literal -512 binary64)) (+.f64 #s(literal 64 binary64) (-.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)))))
(/.f64 (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) #s(literal -64 binary64)) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 8 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 9 binary64))) #s(literal -512 binary64))) (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (-.f64 #s(literal 64 binary64) (.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) #s(literal -64 binary64))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 8 binary64)))
(/.f64 (neg.f64 (+.f64 (exp.f64 (.f64 x #s(literal 9 binary64))) #s(literal -512 binary64))) (neg.f64 (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (-.f64 #s(literal 64 binary64) (.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) #s(literal -64 binary64))) (neg.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 8 binary64))))
(/.f64 (-.f64 (exp.f64 (.f64 x #s(literal 9 binary64))) #s(literal 512 binary64)) (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 64 binary64) (.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 8 binary64)))))
(/.f64 (-.f64 #s(literal 64 binary64) (exp.f64 (.f64 x #s(literal 6 binary64)))) (-.f64 #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 8 binary64))) (.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 8 binary64)) #s(literal 64 binary64))) (.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 8 binary64)) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 8 binary64))))
(pow.f64 (/.f64 (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (-.f64 #s(literal 64 binary64) (.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)))) (+.f64 (exp.f64 (.f64 x #s(literal 9 binary64))) #s(literal -512 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 8 binary64)) (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) #s(literal -64 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)))
(.f64 (+.f64 (exp.f64 (.f64 x #s(literal 9 binary64))) #s(literal -512 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (-.f64 #s(literal 64 binary64) (.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))))))
(.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 8 binary64))))
(exp.f64 (neg.f64 (*.f64 (+.f64 x (log.f64 (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))) #s(literal -1 binary64))))
(+.f64 (.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x))) (.f64 (exp.f64 x) #s(literal 4 binary64)))
(+.f64 (.f64 (exp.f64 x) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x))))
(fma.f64 (exp.f64 x) #s(literal 4 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x))))
(fma.f64 (exp.f64 x) (.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x))) (.f64 (exp.f64 x) #s(literal 4 binary64)))
(fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x)) (*.f64 (exp.f64 x) #s(literal 4 binary64)))
(fma.f64 #s(literal 4 binary64) (exp.f64 x) (*.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x))))
(fma.f64 (.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x))) (exp.f64 x) (.f64 (exp.f64 x) #s(literal 4 binary64)))
(fma.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 2 binary64) (exp.f64 x)) (*.f64 (exp.f64 x) #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))))
(/.f64 (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))) #s(literal 1 binary64))
(/.f64 (*.f64 (exp.f64 x) (neg.f64 (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))) #s(literal -1 binary64))
(/.f64 (fma.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 3 binary64)) (.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 64 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x))) (.f64 (exp.f64 x) #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x))) #s(literal 2 binary64)) (pow.f64 (.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x))) (.f64 (exp.f64 x) #s(literal 4 binary64))))
(/.f64 (.f64 (exp.f64 x) (+.f64 #s(literal 64 binary64) (pow.f64 (.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 3 binary64)))) (-.f64 (+.f64 (pow.f64 (.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 2 binary64)) #s(literal 16 binary64)) (.f64 (exp.f64 x) (*.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))))
(/.f64 (.f64 (exp.f64 x) (+.f64 (pow.f64 (.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 2 binary64)) #s(literal -16 binary64))) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal -4 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 64 binary64) (pow.f64 (.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 3 binary64))) (exp.f64 x)) (-.f64 (+.f64 (pow.f64 (.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 2 binary64)) #s(literal 16 binary64)) (.f64 (exp.f64 x) (*.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 2 binary64)) #s(literal -16 binary64)) (exp.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal -4 binary64)))
(pow.f64 (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))) #s(literal -1 binary64))
(*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))
(*.f64 (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)) (exp.f64 x))
(*.f64 (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)) (/.f64 (exp.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))) #s(literal 1 binary64))

eval302.0ms (2.3%)

Memory: 22.8MiB live, 436.9MiB allocated
Compiler: Compiled 73 896 to 3 239 computations (95.6% saved)

prune163.0ms (1.3%)

Memory

-15.7MiB live, 317.7MiB allocated

Pruning

18 alts after pruning (13 fresh and 5 done)

	Pruned	Kept	Total
New	1 735	9	1 744
Fresh	4	4	8
Picked	1	4	5
Done	0	1	1
Total	1 740	18	1 758

Accuracy

100.0%

Counts

1 758 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.2%	(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
✓	5.9%	(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (exp.f64 (neg.f64 x)))
✓	52.6%	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
	51.9%	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64))
▶	52.1%	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64))
▶	51.6%	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64))
	53.1%	(/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))))
	52.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))))
	52.7%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
✓	52.6%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
▶	53.1%	(.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) (+.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))))
	53.1%	(.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))))
	53.1%	(.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))))))
	53.1%	(.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (exp.f64 (fma.f64 (log.f64 (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))) #s(literal -1 binary64) (neg.f64 x))))
✓	99.7%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x)))
▶	99.5%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)))
	99.2%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 #s(approx (+ ( x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)))
✓	98.9%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 593 to 354 computations (40.3% saved)

simplify367.0ms (2.8%)

Memory

7.4MiB live, 307.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 #s(literal 2 binary64) (exp.f64 x))
cost-diff	192	(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))))
cost-diff	6784	(fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) (+.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64))))))
cost-diff	13504	(.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) (+.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))))
cost-diff	0	(+.f64 (exp.f64 x) #s(literal -2 binary64))
cost-diff	0	(exp.f64 x)
cost-diff	0	(pow.f64 (exp.f64 x) #s(literal -1/2 binary64))
cost-diff	19392	(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
cost-diff	0	#s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
cost-diff	0	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64))
cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
cost-diff	0	#s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
cost-diff	0	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64))
cost-diff	0	(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
cost-diff	0	(fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x)
cost-diff	0	(.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
cost-diff	0	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)))

Rules

15 186×	`lower-fma.f32`
15 162×	`lower-fma.f64`
3 346×	`lower-*.f32`
3 326×	`lower-*.f64`
2 896×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	348
0	93	333
1	192	332
2	389	332
3	1086	324
4	3491	319
5	6840	319
0	8098	318

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)))
(.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
x
(fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x)
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(*.f64 x #s(literal 1/360 binary64))
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
(.f64 x (.f64 x x))
(*.f64 x x)
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64))
#s(literal 2 binary64)
#s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
x
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal -2 binary64)
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64))
#s(literal 2 binary64)
#s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 x x)
x
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(*.f64 x #s(literal 1/720 binary64))
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal -2 binary64)
(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(pow.f64 (exp.f64 x) #s(literal -1/2 binary64))
(exp.f64 x)
x
#s(literal -1/2 binary64)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
#s(literal -2 binary64)
(.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) (+.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) (+.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64))))))
(+.f64 #s(literal 2 binary64) (exp.f64 x))
#s(literal 2 binary64)
(exp.f64 x)
x
(+.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64)))))
#s(literal 4 binary64)
(fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64))))
#s(literal -8 binary64)
(exp.f64 (*.f64 x #s(literal 4 binary64)))
(*.f64 x #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))))
#s(literal 1 binary64)
(*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))
(+.f64 (exp.f64 x) #s(literal 2 binary64))

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)))
(.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
x
(fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x)
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(*.f64 x #s(literal 1/360 binary64))
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
(.f64 x (.f64 x x))
(*.f64 x x)
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64))
#s(literal 2 binary64)
#s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
x
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal -2 binary64)
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64))
#s(literal 2 binary64)
#s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 x x)
x
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(*.f64 x #s(literal 1/720 binary64))
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal -2 binary64)
(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal -2 binary64) (exp.f64 x)))
(pow.f64 (exp.f64 x) #s(literal -1/2 binary64))
(exp.f64 x)
x
#s(literal -1/2 binary64)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(+.f64 #s(literal -2 binary64) (exp.f64 x))
#s(literal -2 binary64)
(.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) (+.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 #s(literal -8 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))))
(fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) (+.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64))))))
(+.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -6 binary64)) (exp.f64 (*.f64 x #s(literal 4 binary64)))))
(+.f64 #s(literal 2 binary64) (exp.f64 x))
#s(literal 2 binary64)
(exp.f64 x)
x
(+.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64)))))
#s(literal 4 binary64)
(fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64))))
#s(literal -8 binary64)
(exp.f64 (*.f64 x #s(literal 4 binary64)))
(*.f64 x #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))
#s(literal 1 binary64)
(*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))
(fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))
(fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))
(+.f64 (exp.f64 x) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (exp.f64 x))

localize789.0ms (6.1%)

Memory

14.0MiB live, 1 142.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.025722509768442016	(*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))
accuracy	0.03515625	(+.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64)))))
accuracy	0.1953125	(.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) (+.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))))
accuracy	30.225663273400187	(fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) (+.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64))))))
accuracy	0	(pow.f64 (exp.f64 x) #s(literal -1/2 binary64))
accuracy	0	(exp.f64 x)
accuracy	0.02734375	(+.f64 (exp.f64 x) #s(literal -2 binary64))
accuracy	30.06701160555137	(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
accuracy	0.2440481372904579	#s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
accuracy	0.26171875	(*.f64 x #s(literal 1/720 binary64))
accuracy	0.33203125	(.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
accuracy	30.35931058887076	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64))
accuracy	0	(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
accuracy	0	(*.f64 x #s(literal 1/2 binary64))
accuracy	0.576184855050584	#s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
accuracy	30.35931058887076	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64))
accuracy	0.01171875	(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
accuracy	0.0703125	(.f64 x (.f64 x x))
accuracy	0.26171875	(*.f64 x #s(literal 1/360 binary64))
accuracy	0.34558826072365145	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)))

Samples

582.0ms	182×	2	valid
95.0ms	70×	1	valid
2.0ms	4×	0	valid

Compiler

Compiled 312 to 59 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 604.0ms

ival-pow: 200.0ms (33.1% of total)

ival-exp: 117.0ms (19.4% of total)

adjust: 72.0ms (11.9% of total)

ival-add: 72.0ms (11.9% of total)

ival-mult: 62.0ms (10.3% of total)

ival-cosh: 34.0ms (5.6% of total)

const: 32.0ms (5.3% of total)

ival-div: 5.0ms (0.8% of total)

ival-neg: 5.0ms (0.8% of total)

ival-sub: 4.0ms (0.7% of total)

exact: 1.0ms (0.2% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series43.0ms (0.3%)

Memory

-11.7MiB live, 34.4MiB allocated

Counts

26 → 312

Calls

Call 1

Inputs
#<alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)))>
#<alt (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))>
#<alt (fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x)>
#<alt (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))>
#<alt (fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64))>
#<alt #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))>
#<alt (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))>
#<alt (*.f64 x #s(literal 1/2 binary64))>
#<alt (fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64))>
#<alt #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))>
#<alt (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))>
#<alt (*.f64 x x)>
#<alt (fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))>
#<alt (pow.f64 (exp.f64 x) #s(literal -1/2 binary64))>
#<alt (exp.f64 x)>
#<alt (+.f64 (exp.f64 x) #s(literal -2 binary64))>
#<alt (.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) (+.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))))>
#<alt (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) (+.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (exp.f64 x))>
#<alt (*.f64 x #s(literal 1/360 binary64))>
#<alt (.f64 x (.f64 x x))>
#<alt (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))>
#<alt (*.f64 x #s(literal 1/720 binary64))>
#<alt (+.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64)))))>
#<alt (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))>

Outputs
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt 1/12>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* x (- (* 1/8 x) 1/2)))>
#<alt (+ 1 (* x (- (* x (+ 1/8 (* -1/48 x))) 1/2)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt -1>
#<alt (- x 1)>
#<alt (- (* x (+ 1 (* 1/2 x))) 1)>
#<alt (- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (* 7 (pow x 2))>
#<alt (* (pow x 2) (+ 7 (* 11 x)))>
#<alt (* (pow x 2) (+ 7 (* x (+ 11 (* 133/12 x)))))>
#<alt (* (pow x 2) (+ 7 (* x (+ 11 (* x (+ 133/12 (* 35/4 x)))))))>
#<alt 1/7>
#<alt (+ 1/7 (* -11/49 x))>
#<alt (+ 1/7 (* x (- (* 95/686 x) 11/49)))>
#<alt (+ 1/7 (* x (- (* x (+ 95/686 (* -587/14406 x))) 11/49)))>
#<alt 3>
#<alt (+ 3 x)>
#<alt (+ 3 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 3 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (* 1/24 x)>
#<alt (* x (+ 1/24 (* 1/720 (pow x 2))))>
#<alt (* x (+ 1/24 (* 1/720 (pow x 2))))>
#<alt (* x (+ 1/24 (* 1/720 (pow x 2))))>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt -3>
#<alt (- (* -4 x) 3)>
#<alt (- (* x (- (* 4 x) 4)) 3)>
#<alt (- (* x (- (* x (+ 4 (* 28/3 x))) 4)) 3)>
#<alt 7>
#<alt (+ 7 (* 11 x))>
#<alt (+ 7 (* x (+ 11 (* 21/2 x))))>
#<alt (+ 7 (* x (+ 11 (* x (+ 21/2 (* 47/6 x))))))>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/360 (pow x 5))>
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/360 (pow x 2))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/720 (pow x 6))>
#<alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (sqrt (/ 1 (exp x)))>
#<alt (sqrt (/ 1 (exp x)))>
#<alt (sqrt (/ 1 (exp x)))>
#<alt (sqrt (/ 1 (exp x)))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (/ (+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x)))))) (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))>
#<alt (/ (+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x)))))) (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))>
#<alt (/ (+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x)))))) (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))>
#<alt (/ (+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x)))))) (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))>
#<alt (+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x))))))>
#<alt (+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x))))))>
#<alt (+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x))))))>
#<alt (+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x))))))>
#<alt (/ 1 (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))>
#<alt (/ 1 (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))>
#<alt (/ 1 (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))>
#<alt (/ 1 (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))>
#<alt (+ 2 (exp x))>
#<alt (+ 2 (exp x))>
#<alt (+ 2 (exp x))>
#<alt (+ 2 (exp x))>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (* 1/720 (pow x 3))>
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (+ 4 (+ (exp (* 4 x)) (* -8 (exp x))))>
#<alt (+ 4 (+ (exp (* 4 x)) (* -8 (exp x))))>
#<alt (+ 4 (+ (exp (* 4 x)) (* -8 (exp x))))>
#<alt (+ 4 (+ (exp (* 4 x)) (* -8 (exp x))))>
#<alt (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))>
#<alt (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))>
#<alt (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))>
#<alt (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/360 (pow x 5))>
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))>
#<alt (* 1/360 (pow x 2))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/720 (pow x 6))>
#<alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (sqrt (/ 1 (exp x)))>
#<alt (sqrt (/ 1 (exp x)))>
#<alt (sqrt (/ 1 (exp x)))>
#<alt (sqrt (/ 1 (exp x)))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (/ (+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x)))))) (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))>
#<alt (/ (+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x)))))) (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))>
#<alt (/ (+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x)))))) (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))>
#<alt (/ (+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x)))))) (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))>
#<alt (+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x))))))>
#<alt (+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x))))))>
#<alt (+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x))))))>
#<alt (+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x))))))>
#<alt (/ 1 (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))>
#<alt (/ 1 (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))>
#<alt (/ 1 (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))>
#<alt (/ 1 (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))>
#<alt (+ 2 (exp x))>
#<alt (+ 2 (exp x))>
#<alt (+ 2 (exp x))>
#<alt (+ 2 (exp x))>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (* 1/720 (pow x 3))>
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (+ 4 (+ (exp (* 4 x)) (* -8 (exp x))))>
#<alt (+ 4 (+ (exp (* 4 x)) (* -8 (exp x))))>
#<alt (+ 4 (+ (exp (* 4 x)) (* -8 (exp x))))>
#<alt (+ 4 (+ (exp (* 4 x)) (* -8 (exp x))))>
#<alt (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))>
#<alt (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))>
#<alt (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))>
#<alt (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))>

Calls

3 calls:

Time

Variable

Point

Expression

31.0ms

inf

((+ (- (exp x) 2) (exp (neg x))) (* x (+ (* (+ (* x (* x 1/360)) 1/12) (* x (* x x))) x)) (+ (* (+ (* x (* x 1/360)) 1/12) (* x (* x x))) x) (+ (* x (* x 1/360)) 1/12) (+ (* 2 (cosh x)) -2) (cosh x) (+ (* x (* x 1/2)) 1) (* x 1/2) (+ (* 2 (cosh x)) -2) (cosh x) (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2)) 1) (* x x) (+ (* (pow (exp x) -1/2) (pow (exp x) -1/2)) (+ (exp x) -2)) (pow (exp x) -1/2) (exp x) (+ (exp x) -2) (* (+ (* (+ 2 (exp x)) (exp x)) (+ 4 (+ (* (exp x) -8) (exp (* x 4))))) (/ 1 (* (exp x) (+ (* (exp x) (+ (exp x) 2)) 4)))) (+ (* (+ 2 (exp x)) (exp x)) (+ 4 (+ (* (exp x) -8) (exp (* x 4))))) (/ 1 (* (exp x) (+ (* (exp x) (+ (exp x) 2)) 4))) (+ 2 (exp x)) (* x 1/360) (* x (* x x)) (* x (+ (* x (* x 1/720)) 1/24)) (* x 1/720) (+ 4 (+ (* (exp x) -8) (exp (* x 4)))) (* (exp x) (+ (* (exp x) (+ (exp x) 2)) 4)))

6.0ms

-inf

((+ (- (exp x) 2) (exp (neg x))) (* x (+ (* (+ (* x (* x 1/360)) 1/12) (* x (* x x))) x)) (+ (* (+ (* x (* x 1/360)) 1/12) (* x (* x x))) x) (+ (* x (* x 1/360)) 1/12) (+ (* 2 (cosh x)) -2) (cosh x) (+ (* x (* x 1/2)) 1) (* x 1/2) (+ (* 2 (cosh x)) -2) (cosh x) (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2)) 1) (* x x) (+ (* (pow (exp x) -1/2) (pow (exp x) -1/2)) (+ (exp x) -2)) (pow (exp x) -1/2) (exp x) (+ (exp x) -2) (* (+ (* (+ 2 (exp x)) (exp x)) (+ 4 (+ (* (exp x) -8) (exp (* x 4))))) (/ 1 (* (exp x) (+ (* (exp x) (+ (exp x) 2)) 4)))) (+ (* (+ 2 (exp x)) (exp x)) (+ 4 (+ (* (exp x) -8) (exp (* x 4))))) (/ 1 (* (exp x) (+ (* (exp x) (+ (exp x) 2)) 4))) (+ 2 (exp x)) (* x 1/360) (* x (* x x)) (* x (+ (* x (* x 1/720)) 1/24)) (* x 1/720) (+ 4 (+ (* (exp x) -8) (exp (* x 4)))) (* (exp x) (+ (* (exp x) (+ (exp x) 2)) 4)))

3.0ms

((+ (- (exp x) 2) (exp (neg x))) (* x (+ (* (+ (* x (* x 1/360)) 1/12) (* x (* x x))) x)) (+ (* (+ (* x (* x 1/360)) 1/12) (* x (* x x))) x) (+ (* x (* x 1/360)) 1/12) (+ (* 2 (cosh x)) -2) (cosh x) (+ (* x (* x 1/2)) 1) (* x 1/2) (+ (* 2 (cosh x)) -2) (cosh x) (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2)) 1) (* x x) (+ (* (pow (exp x) -1/2) (pow (exp x) -1/2)) (+ (exp x) -2)) (pow (exp x) -1/2) (exp x) (+ (exp x) -2) (* (+ (* (+ 2 (exp x)) (exp x)) (+ 4 (+ (* (exp x) -8) (exp (* x 4))))) (/ 1 (* (exp x) (+ (* (exp x) (+ (exp x) 2)) 4)))) (+ (* (+ 2 (exp x)) (exp x)) (+ 4 (+ (* (exp x) -8) (exp (* x 4))))) (/ 1 (* (exp x) (+ (* (exp x) (+ (exp x) 2)) 4))) (+ 2 (exp x)) (* x 1/360) (* x (* x x)) (* x (+ (* x (* x 1/720)) 1/24)) (* x 1/720) (+ 4 (+ (* (exp x) -8) (exp (* x 4)))) (* (exp x) (+ (* (exp x) (+ (exp x) 2)) 4)))

simplify859.0ms (6.6%)

Memory

-9.4MiB live, 316.0MiB allocated

Algorithm

1×	egg-herbie

Rules

17 612×	`lower-fma.f64`
17 612×	`lower-fma.f32`
4 764×	`lower-*.f64`
4 764×	`lower-*.f32`
3 668×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	214	2642
1	619	2562
2	1451	2510
3	3656	2508
0	8523	2328

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 311

Calls

Call 1

Inputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* 1/360 (pow x 2)))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* 1/2 (pow x 2)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
1
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 1/8 x) 1/2)))
(+ 1 (* x (- (* x (+ 1/8 (* -1/48 x))) 1/2)))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
-1
(- x 1)
(- (* x (+ 1 (* 1/2 x))) 1)
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 7 (pow x 2))
(* (pow x 2) (+ 7 (* 11 x)))
(* (pow x 2) (+ 7 (* x (+ 11 (* 133/12 x)))))
(* (pow x 2) (+ 7 (* x (+ 11 (* x (+ 133/12 (* 35/4 x)))))))
1/7
(+ 1/7 (* -11/49 x))
(+ 1/7 (* x (- (* 95/686 x) 11/49)))
(+ 1/7 (* x (- (* x (+ 95/686 (* -587/14406 x))) 11/49)))
3
(+ 3 x)
(+ 3 (* x (+ 1 (* 1/2 x))))
(+ 3 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 1/24 x)
(* x (+ 1/24 (* 1/720 (pow x 2))))
(* x (+ 1/24 (* 1/720 (pow x 2))))
(* x (+ 1/24 (* 1/720 (pow x 2))))
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
-3
(- (* -4 x) 3)
(- (* x (- (* 4 x) 4)) 3)
(- (* x (- (* x (+ 4 (* 28/3 x))) 4)) 3)
7
(+ 7 (* 11 x))
(+ 7 (* x (+ 11 (* 21/2 x))))
(+ 7 (* x (+ 11 (* x (+ 21/2 (* 47/6 x))))))
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(sqrt (/ 1 (exp x)))
(sqrt (/ 1 (exp x)))
(sqrt (/ 1 (exp x)))
(sqrt (/ 1 (exp x)))
(exp x)
(exp x)
(exp x)
(exp x)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(/ (+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x)))))) (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(/ (+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x)))))) (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(/ (+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x)))))) (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(/ (+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x)))))) (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x))))))
(+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x))))))
(+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x))))))
(+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x))))))
(/ 1 (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(/ 1 (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(/ 1 (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(/ 1 (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(+ 2 (exp x))
(+ 2 (exp x))
(+ 2 (exp x))
(+ 2 (exp x))
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 1/720 (pow x 3))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(+ 4 (+ (exp (* 4 x)) (* -8 (exp x))))
(+ 4 (+ (exp (* 4 x)) (* -8 (exp x))))
(+ 4 (+ (exp (* 4 x)) (* -8 (exp x))))
(+ 4 (+ (exp (* 4 x)) (* -8 (exp x))))
(* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))
(* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))
(* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))
(* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(sqrt (/ 1 (exp x)))
(sqrt (/ 1 (exp x)))
(sqrt (/ 1 (exp x)))
(sqrt (/ 1 (exp x)))
(exp x)
(exp x)
(exp x)
(exp x)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(/ (+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x)))))) (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(/ (+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x)))))) (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(/ (+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x)))))) (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(/ (+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x)))))) (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x))))))
(+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x))))))
(+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x))))))
(+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x))))))
(/ 1 (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(/ 1 (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(/ 1 (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(/ 1 (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(+ 2 (exp x))
(+ 2 (exp x))
(+ 2 (exp x))
(+ 2 (exp x))
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 1/720 (pow x 3))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(+ 4 (+ (exp (* 4 x)) (* -8 (exp x))))
(+ 4 (+ (exp (* 4 x)) (* -8 (exp x))))
(+ 4 (+ (exp (* 4 x)) (* -8 (exp x))))
(+ 4 (+ (exp (* 4 x)) (* -8 (exp x))))
(* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))
(* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))
(* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))
(* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))

Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(.f64 x (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x)
1/12
#s(literal 1/12 binary64)
(+ 1/12 (* 1/360 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(+ 1/12 (* 1/360 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(+ 1/12 (* 1/360 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(.f64 x (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/2 x)
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(/.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))
(+ 2 (exp x))
(+.f64 #s(literal 2 binary64) (exp.f64 x))
(+ 2 (exp x))
(+.f64 #s(literal 2 binary64) (exp.f64 x))
(+ 2 (exp x))
(+.f64 #s(literal 2 binary64) (exp.f64 x))
(+ 2 (exp x))
(+.f64 #s(literal 2 binary64) (exp.f64 x))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(* 1/720 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/720 binary64))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(+ 4 (+ (exp (* 4 x)) (* -8 (exp x))))
(+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (fma.f64 (exp.f64 x) #s(literal -8 binary64) #s(literal 4 binary64)))
(+ 4 (+ (exp (* 4 x)) (* -8 (exp x))))
(+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (fma.f64 (exp.f64 x) #s(literal -8 binary64) #s(literal 4 binary64)))
(+ 4 (+ (exp (* 4 x)) (* -8 (exp x))))
(+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (fma.f64 (exp.f64 x) #s(literal -8 binary64) #s(literal 4 binary64)))
(+ 4 (+ (exp (* 4 x)) (* -8 (exp x))))
(+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (fma.f64 (exp.f64 x) #s(literal -8 binary64) #s(literal 4 binary64)))
(* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))
(*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))
(* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))
(*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))
(* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))
(*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))
(* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))
(*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))
(- (+ (exp x) (exp (* -1 x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (exp (* -1 x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (exp (* -1 x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (exp (* -1 x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(* 1/360 (pow x 6))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* 1/360 (pow x 5))
(.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 x x))))
(* 1/360 (pow x 2))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/720 (pow x 6))
(*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(sqrt (/ 1 (exp x)))
(sqrt.f64 (exp.f64 (neg.f64 x)))
(sqrt (/ 1 (exp x)))
(sqrt.f64 (exp.f64 (neg.f64 x)))
(sqrt (/ 1 (exp x)))
(sqrt.f64 (exp.f64 (neg.f64 x)))
(sqrt (/ 1 (exp x)))
(sqrt.f64 (exp.f64 (neg.f64 x)))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(/ (+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x)))))) (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(/.f64 (+.f64 (exp.f64 (.f64 x #s(literal 4 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -6 binary64)) #s(literal 4 binary64))) (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))))
(/ (+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x)))))) (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(/.f64 (+.f64 (exp.f64 (.f64 x #s(literal 4 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -6 binary64)) #s(literal 4 binary64))) (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))))
(/ (+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x)))))) (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(/.f64 (+.f64 (exp.f64 (.f64 x #s(literal 4 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -6 binary64)) #s(literal 4 binary64))) (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))))
(/ (+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x)))))) (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(/.f64 (+.f64 (exp.f64 (.f64 x #s(literal 4 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -6 binary64)) #s(literal 4 binary64))) (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))))
(+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x))))))
(+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -6 binary64)) #s(literal 4 binary64)))
(+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x))))))
(+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -6 binary64)) #s(literal 4 binary64)))
(+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x))))))
(+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -6 binary64)) #s(literal 4 binary64)))
(+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x))))))
(+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -6 binary64)) #s(literal 4 binary64)))
(/ 1 (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(/.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))
(/ 1 (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(/.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))
(/ 1 (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(/.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))
(/ 1 (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(/.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))
(+ 2 (exp x))
(+.f64 #s(literal 2 binary64) (exp.f64 x))
(+ 2 (exp x))
(+.f64 #s(literal 2 binary64) (exp.f64 x))
(+ 2 (exp x))
(+.f64 #s(literal 2 binary64) (exp.f64 x))
(+ 2 (exp x))
(+.f64 #s(literal 2 binary64) (exp.f64 x))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(* 1/720 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/720 binary64))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(+ 4 (+ (exp (* 4 x)) (* -8 (exp x))))
(+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (fma.f64 (exp.f64 x) #s(literal -8 binary64) #s(literal 4 binary64)))
(+ 4 (+ (exp (* 4 x)) (* -8 (exp x))))
(+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (fma.f64 (exp.f64 x) #s(literal -8 binary64) #s(literal 4 binary64)))
(+ 4 (+ (exp (* 4 x)) (* -8 (exp x))))
(+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (fma.f64 (exp.f64 x) #s(literal -8 binary64) #s(literal 4 binary64)))
(+ 4 (+ (exp (* 4 x)) (* -8 (exp x))))
(+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (fma.f64 (exp.f64 x) #s(literal -8 binary64) #s(literal 4 binary64)))
(* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))
(*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))
(* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))
(*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))
(* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))
(*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))
(* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))
(*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))

rewrite450.0ms (3.5%)

Memory

32.1MiB live, 454.5MiB allocated

Rules

6 172×	`lower-*.f32`
6 152×	`lower-*.f64`
3 378×	`lower-/.f32`
3 376×	`lower-/.f64`
3 248×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	276
0	93	260
1	417	256
2	3356	256
0	9389	254

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

26 → 493

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)))
(.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
(fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x)
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64))
#s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 1/2 binary64))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64))
#s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 x x)
(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(pow.f64 (exp.f64 x) #s(literal -1/2 binary64))
(exp.f64 x)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) (+.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) (+.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))))
(+.f64 #s(literal 2 binary64) (exp.f64 x))
(*.f64 x #s(literal 1/360 binary64))
(.f64 x (.f64 x x))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(*.f64 x #s(literal 1/720 binary64))
(+.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64)))))
(*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x)))
(+.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))
(+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) (.f64 x x))
(fma.f64 x x (.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))
(fma.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x))) (*.f64 x x))
(fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (.f64 x x)) (*.f64 x x))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 x x))
(fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x))) x (*.f64 x x))
(fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (.f64 x (.f64 x x)) (*.f64 x x))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x x))
(fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) (.f64 x x) (*.f64 x x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x))) (.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x))))) (.f64 x x) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) (*.f64 x x)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) (.f64 x x)))
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(/.f64 (.f64 x (.f64 (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) (neg.f64 x)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) (neg.f64 x)))
(/.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x))) (.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x))))))) x) (fma.f64 x (-.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)))) (.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)))))))
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(.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x))
(.f64 (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) x)
(+.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x))))
(+.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x))) x)
(-.f64 (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x))))) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) (neg.f64 x))))
(fma.f64 x (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x)
(fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x)
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x)
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) x)
(fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 x x) x)
(fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x x)) x x)
(fma.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) x x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)))) (.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)))))) (fma.f64 x (.f64 x x) (.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x))) (.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) (neg.f64 x)) (.f64 (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) (neg.f64 x)))))
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x))) (.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x))))))) (fma.f64 x (-.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)))) (.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)))))))
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x))) (.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x))))))) (fma.f64 x x (-.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))))
(/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) (neg.f64 x))) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x))) (.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)))))))) (neg.f64 (fma.f64 x (-.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)))) (.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x))))))))
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(pow.f64 (/.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) (neg.f64 x)) (.f64 (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) (neg.f64 x)))) #s(literal -1 binary64))
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(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(fma.f64 (*.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
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(+.f64 (+.f64 #s(literal 4 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) (.f64 (exp.f64 x) #s(literal -8 binary64)))
(-.f64 (/.f64 #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))))) (/.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64)))))))
(fma.f64 (exp.f64 x) #s(literal -8 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) #s(literal 4 binary64)))
(fma.f64 #s(literal -8 binary64) (exp.f64 x) (+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) #s(literal 4 binary64)))
(fma.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x)) (fma.f64 (exp.f64 x) #s(literal -8 binary64) #s(literal 4 binary64)))
(fma.f64 (fma.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -512 binary64) (exp.f64 (.f64 x #s(literal 12 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 64 binary64) (exp.f64 (.f64 x #s(literal 8 binary64)))) (.f64 #s(literal -8 binary64) (exp.f64 (+.f64 x (*.f64 x #s(literal 4 binary64))))))) #s(literal 4 binary64))
(fma.f64 (-.f64 (.f64 (exp.f64 (+.f64 x x)) #s(literal 64 binary64)) (exp.f64 (.f64 x #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (exp.f64 x) #s(literal -8 binary64)) (exp.f64 (.f64 x #s(literal 4 binary64))))) #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) (-.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) #s(literal 4 binary64)) #s(literal 16 binary64)) (+.f64 #s(literal 64 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64))))) (-.f64 #s(literal 16 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 64 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) (-.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64)))) #s(literal 4 binary64)) #s(literal 16 binary64)))
(/.f64 (+.f64 #s(literal 64 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64))))))))
(/.f64 (-.f64 #s(literal 16 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))) (-.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 64 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) (-.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64)))) #s(literal 4 binary64)) #s(literal 16 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 16 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) #s(literal 4 binary64)) #s(literal 3 binary64)) (exp.f64 (.f64 x #s(literal 12 binary64)))) (+.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (.f64 x #s(literal 8 binary64))) (.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) #s(literal 4 binary64)) (exp.f64 (.f64 x #s(literal 4 binary64)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) #s(literal 16 binary64)) (-.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) #s(literal 4 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) #s(literal 4 binary64)) #s(literal 2 binary64)) (exp.f64 (.f64 x #s(literal 8 binary64)))) (-.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) #s(literal 4 binary64)) (exp.f64 (.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))))) (.f64 (-.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64))))) (pow.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)))) (pow.f64 (-.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64))))) #s(literal 2 binary64)))
(pow.f64 (/.f64 (fma.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) (-.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) #s(literal 4 binary64)) #s(literal 16 binary64)) (+.f64 #s(literal 64 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64))))) (-.f64 #s(literal 16 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 64 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) (-.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) #s(literal 4 binary64)) #s(literal 16 binary64))))
(.f64 (-.f64 #s(literal 16 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64)))))))
(exp.f64 (neg.f64 (*.f64 (+.f64 x (log.f64 (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))) #s(literal -1 binary64))))
(+.f64 (.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x))) (.f64 (exp.f64 x) #s(literal 4 binary64)))
(+.f64 (.f64 (exp.f64 x) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x))))
(fma.f64 (exp.f64 x) #s(literal 4 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x))))
(fma.f64 (exp.f64 x) (.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x))) (.f64 (exp.f64 x) #s(literal 4 binary64)))
(fma.f64 #s(literal 4 binary64) (exp.f64 x) (*.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x))))
(fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x)) (*.f64 (exp.f64 x) #s(literal 4 binary64)))
(fma.f64 (.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x))) (exp.f64 x) (.f64 (exp.f64 x) #s(literal 4 binary64)))
(fma.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 2 binary64) (exp.f64 x)) (*.f64 (exp.f64 x) #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))))
(/.f64 (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x))) #s(literal 3 binary64)) (.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 64 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x))) (.f64 (exp.f64 x) #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x))) #s(literal 2 binary64)) (pow.f64 (.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x))) (.f64 (exp.f64 x) #s(literal 4 binary64))))
(/.f64 (.f64 (exp.f64 x) (+.f64 (pow.f64 (.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 3 binary64)) #s(literal 64 binary64))) (+.f64 (pow.f64 (.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (.f64 (exp.f64 x) (*.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))))))
(/.f64 (.f64 (exp.f64 x) (+.f64 (pow.f64 (.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 2 binary64)) #s(literal -16 binary64))) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal -4 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 3 binary64)) #s(literal 64 binary64)) (exp.f64 x)) (+.f64 (pow.f64 (.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (.f64 (exp.f64 x) (*.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 2 binary64)) #s(literal -16 binary64)) (exp.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal -4 binary64)))
(pow.f64 (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))) #s(literal -1 binary64))
(*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))
(*.f64 (exp.f64 x) (/.f64 (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)) (exp.f64 x))
(*.f64 (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)) (/.f64 (exp.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))) #s(literal 1 binary64))

eval196.0ms (1.5%)

Memory: -14.0MiB live, 227.2MiB allocated
Compiler: Compiled 27 812 to 1 903 computations (93.2% saved)

prune110.0ms (0.8%)

Memory

13.0MiB live, 214.4MiB allocated

Pruning

17 alts after pruning (9 fresh and 8 done)

	Pruned	Kept	Total
New	946	5	951
Fresh	4	4	8
Picked	2	3	5
Done	0	5	5
Total	952	17	969

Accuracy

100.0%

Counts

969 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	5.9%	(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (exp.f64 (neg.f64 x)))
▶	53.0%	(fma.f64 (exp.f64 (fma.f64 x #s(literal -1/4 binary64) (.f64 x #s(literal -1/2 binary64)))) (exp.f64 (.f64 x #s(literal -1/4 binary64))) (+.f64 #s(literal -2 binary64) (exp.f64 x)))
	53.2%	(fma.f64 (exp.f64 (.f64 x #s(literal -1/2 binary64))) (exp.f64 (.f64 x #s(literal -1/2 binary64))) (+.f64 #s(literal -2 binary64) (exp.f64 x)))
✓	52.6%	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
▶	51.9%	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64))
✓	52.1%	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64))
✓	51.6%	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64))
	52.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))))
▶	52.7%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
✓	52.6%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
▶	53.1%	(.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) (+.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))))) (/.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))))
	53.1%	(.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) (+.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x))) #s(literal 3 binary64)) (.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 64 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x))) (.f64 (exp.f64 x) #s(literal 4 binary64))))))))
✓	99.7%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x)))
✓	99.5%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)))
▶	99.2%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 #s(approx (+ ( x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)))
✓	98.9%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
	52.8%	#s(approx (* (+ (* (+ 2 (exp x)) (exp x)) (+ 4 (+ (* (exp x) -8) (exp (* x 4))))) (/ 1 (* (exp x) (+ (* (exp x) (+ (exp x) 2)) 4)))) (/.f64 (+.f64 (exp.f64 (.f64 x #s(literal 4 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -6 binary64)) #s(literal 4 binary64))) (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))))

Compiler

Compiled 534 to 297 computations (44.4% saved)

simplify412.0ms (3.2%)

Memory

3.1MiB live, 562.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(exp.f64 x)
cost-diff	0	(+.f64 #s(literal 2 binary64) (exp.f64 x))
cost-diff	6784	(fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) (+.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64))))))
cost-diff	13504	(.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) (+.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))))) (/.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))))
cost-diff	0	(*.f64 x #s(literal -1/2 binary64))
cost-diff	0	(exp.f64 (fma.f64 x #s(literal -1/4 binary64) (*.f64 x #s(literal -1/2 binary64))))
cost-diff	384	(fma.f64 x #s(literal -1/4 binary64) (*.f64 x #s(literal -1/2 binary64)))
cost-diff	7104	(fma.f64 (exp.f64 (fma.f64 x #s(literal -1/4 binary64) (.f64 x #s(literal -1/2 binary64)))) (exp.f64 (.f64 x #s(literal -1/4 binary64))) (+.f64 #s(literal -2 binary64) (exp.f64 x)))
cost-diff	0	(exp.f64 x)
cost-diff	0	(-.f64 (exp.f64 x) #s(literal 2 binary64))
cost-diff	0	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
cost-diff	576	(/.f64 #s(literal 1 binary64) (exp.f64 x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
cost-diff	0	#s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
cost-diff	0	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64))
cost-diff	0	#s(approx (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))
cost-diff	0	(fma.f64 #s(approx (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)
cost-diff	0	(.f64 x (fma.f64 #s(approx (+ ( x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
cost-diff	0	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 #s(approx (+ ( x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)))

Rules

20 270×	`lower-fma.f32`
20 252×	`lower-fma.f64`
6 084×	`lower-*.f32`
6 070×	`lower-*.f64`
2 908×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	339
0	94	315
1	189	315
2	383	314
3	825	312
4	2750	301
5	6492	301
0	9519	292

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 #s(approx (+ ( x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)))
(.f64 x (fma.f64 #s(approx (+ ( x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
x
(fma.f64 #s(approx (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)
#s(approx (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
(.f64 x (.f64 x x))
(*.f64 x x)
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64))
#s(literal 2 binary64)
#s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 x x)
x
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal -2 binary64)
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
x
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (exp.f64 x))
#s(literal 1 binary64)
(fma.f64 (exp.f64 (fma.f64 x #s(literal -1/4 binary64) (.f64 x #s(literal -1/2 binary64)))) (exp.f64 (.f64 x #s(literal -1/4 binary64))) (+.f64 #s(literal -2 binary64) (exp.f64 x)))
(exp.f64 (fma.f64 x #s(literal -1/4 binary64) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 x #s(literal -1/4 binary64) (*.f64 x #s(literal -1/2 binary64)))
x
#s(literal -1/4 binary64)
(*.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(exp.f64 (*.f64 x #s(literal -1/4 binary64)))
(*.f64 x #s(literal -1/4 binary64))
(+.f64 #s(literal -2 binary64) (exp.f64 x))
#s(literal -2 binary64)
(exp.f64 x)
(.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) (+.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))))) (/.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))))
(fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) (+.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64))))))
(+.f64 #s(literal 2 binary64) (exp.f64 x))
#s(literal 2 binary64)
(exp.f64 x)
x
(+.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64)))))
#s(literal 4 binary64)
(fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64))))
#s(literal -8 binary64)
(exp.f64 (*.f64 x #s(literal 4 binary64)))
(*.f64 x #s(literal 4 binary64))
(/.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))
(exp.f64 (neg.f64 x))
(neg.f64 x)
(fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 #s(approx (+ ( x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (.f64 x #s(approx (+ ( x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x)))
(.f64 x (fma.f64 #s(approx (+ ( x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
(.f64 x (fma.f64 (.f64 x x) (.f64 x #s(approx (+ ( x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x))
x
(fma.f64 #s(approx (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)
(fma.f64 (.f64 x x) (.f64 x #s(approx (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x)
#s(approx (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
(.f64 x (.f64 x x))
(*.f64 x x)
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64))
(fma.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64))
#s(literal 2 binary64)
#s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 x x)
x
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal -2 binary64)
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(+.f64 (+.f64 #s(literal -2 binary64) (exp.f64 x)) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(+.f64 #s(literal -2 binary64) (exp.f64 x))
(exp.f64 x)
x
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp.f64 (neg.f64 x))
#s(literal 1 binary64)
(fma.f64 (exp.f64 (fma.f64 x #s(literal -1/4 binary64) (.f64 x #s(literal -1/2 binary64)))) (exp.f64 (.f64 x #s(literal -1/4 binary64))) (+.f64 #s(literal -2 binary64) (exp.f64 x)))
(+.f64 (+.f64 #s(literal -2 binary64) (exp.f64 x)) (exp.f64 (neg.f64 x)))
(exp.f64 (fma.f64 x #s(literal -1/4 binary64) (*.f64 x #s(literal -1/2 binary64))))
(exp.f64 (*.f64 x #s(literal -3/4 binary64)))
(fma.f64 x #s(literal -1/4 binary64) (*.f64 x #s(literal -1/2 binary64)))
(*.f64 x #s(literal -3/4 binary64))
x
#s(literal -1/4 binary64)
(*.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(exp.f64 (*.f64 x #s(literal -1/4 binary64)))
(*.f64 x #s(literal -1/4 binary64))
(+.f64 #s(literal -2 binary64) (exp.f64 x))
#s(literal -2 binary64)
(exp.f64 x)
(.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) (+.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))))) (/.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))))
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 #s(literal -8 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))))
(fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) (+.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64))))))
(fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -6 binary64)) (+.f64 #s(literal 4 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64)))))
(+.f64 #s(literal 2 binary64) (exp.f64 x))
(+.f64 (exp.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(exp.f64 x)
x
(+.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64)))))
#s(literal 4 binary64)
(fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64))))
#s(literal -8 binary64)
(exp.f64 (*.f64 x #s(literal 4 binary64)))
(*.f64 x #s(literal 4 binary64))
(/.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))
(/.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(exp.f64 (neg.f64 x))
(neg.f64 x)
(fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))
(fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))

localize807.0ms (6.2%)

Memory

-295.3MiB live, 945.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(+.f64 #s(literal 2 binary64) (exp.f64 x))
accuracy	0.03515625	(+.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64)))))
accuracy	0.1953125	(.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) (+.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))))) (/.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))))
accuracy	30.225663273400187	(fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) (+.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64))))))
accuracy	0	(exp.f64 x)
accuracy	0.00390625	(fma.f64 x #s(literal -1/4 binary64) (*.f64 x #s(literal -1/2 binary64)))
accuracy	0.02734375	(+.f64 #s(literal -2 binary64) (exp.f64 x))
accuracy	30.030882289789425	(fma.f64 (exp.f64 (fma.f64 x #s(literal -1/4 binary64) (.f64 x #s(literal -1/2 binary64)))) (exp.f64 (.f64 x #s(literal -1/4 binary64))) (+.f64 #s(literal -2 binary64) (exp.f64 x)))
accuracy	0	(exp.f64 x)
accuracy	0.02734375	(/.f64 #s(literal 1 binary64) (exp.f64 x))
accuracy	0.02734375	(-.f64 (exp.f64 x) #s(literal 2 binary64))
accuracy	30.30321226573987	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
accuracy	0	(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.4171343390167384	#s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
accuracy	30.35931058887076	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64))
accuracy	0.00390625	(.f64 x (fma.f64 #s(approx (+ ( x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
accuracy	0.0703125	(.f64 x (.f64 x x))
accuracy	0.16272191091523197	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 #s(approx (+ ( x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)))
accuracy	0.6953932019194826	#s(approx (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))

Samples

669.0ms	182×	2	valid
61.0ms	70×	1	valid
2.0ms	4×	0	valid

Compiler

Compiled 305 to 60 computations (80.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 675.0ms

adjust: 325.0ms (48.2% of total)

ival-exp: 169.0ms (25% of total)

ival-add: 59.0ms (8.7% of total)

ival-mult: 56.0ms (8.3% of total)

ival-cosh: 33.0ms (4.9% of total)

const: 18.0ms (2.7% of total)

ival-div: 9.0ms (1.3% of total)

ival-sub: 4.0ms (0.6% of total)

exact: 1.0ms (0.1% of total)

ival-neg: 1.0ms (0.1% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series37.0ms (0.3%)

Memory

-9.9MiB live, 26.9MiB allocated

Counts

23 → 276

Calls

Call 1

Inputs
#<alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 #s(approx (+ ( x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)))>
#<alt (.f64 x (fma.f64 #s(approx (+ ( x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))>
#<alt (fma.f64 #s(approx (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)>
#<alt #s(approx (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))>
#<alt (fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64))>
#<alt #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))>
#<alt (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))>
#<alt (*.f64 x x)>
#<alt (/.f64 #s(literal 1 binary64) (exp.f64 x))>
#<alt (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))>
#<alt (-.f64 (exp.f64 x) #s(literal 2 binary64))>
#<alt (exp.f64 x)>
#<alt (fma.f64 (exp.f64 (fma.f64 x #s(literal -1/4 binary64) (.f64 x #s(literal -1/2 binary64)))) (exp.f64 (.f64 x #s(literal -1/4 binary64))) (+.f64 #s(literal -2 binary64) (exp.f64 x)))>
#<alt (fma.f64 x #s(literal -1/4 binary64) (*.f64 x #s(literal -1/2 binary64)))>
#<alt (exp.f64 (fma.f64 x #s(literal -1/4 binary64) (*.f64 x #s(literal -1/2 binary64))))>
#<alt (*.f64 x #s(literal -1/2 binary64))>
#<alt (.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) (+.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))))) (/.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))))>
#<alt (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) (+.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64))))))>
#<alt (+.f64 #s(literal 2 binary64) (exp.f64 x))>
#<alt (.f64 x (.f64 x x))>
#<alt (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))>
#<alt (+.f64 #s(literal -2 binary64) (exp.f64 x))>
#<alt (+.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64)))))>

Outputs
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt 1/12>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))>
#<alt (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt -1>
#<alt (- x 1)>
#<alt (- (* x (+ 1 (* 1/2 x))) 1)>
#<alt (- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (* -3/4 x)>
#<alt (* -3/4 x)>
#<alt (* -3/4 x)>
#<alt (* -3/4 x)>
#<alt 1>
#<alt (+ 1 (* -3/4 x))>
#<alt (+ 1 (* x (- (* 9/32 x) 3/4)))>
#<alt (+ 1 (* x (- (* x (+ 9/32 (* -9/128 x))) 3/4)))>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (* 7 (pow x 2))>
#<alt (* (pow x 2) (+ 7 (* 11 x)))>
#<alt (* (pow x 2) (+ 7 (* x (+ 11 (* 133/12 x)))))>
#<alt (* (pow x 2) (+ 7 (* x (+ 11 (* x (+ 133/12 (* 35/4 x)))))))>
#<alt 3>
#<alt (+ 3 x)>
#<alt (+ 3 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 3 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt -1>
#<alt (- x 1)>
#<alt (- (* x (+ 1 (* 1/2 x))) 1)>
#<alt (- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)>
#<alt -3>
#<alt (- (* -4 x) 3)>
#<alt (- (* x (- (* 4 x) 4)) 3)>
#<alt (- (* x (- (* x (+ 4 (* 28/3 x))) 4)) 3)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 7))>
#<alt (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (/ 1 (exp x))>
#<alt (/ 1 (exp x))>
#<alt (/ 1 (exp x))>
#<alt (/ 1 (exp x))>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (- (+ (exp x) (* (exp (neg (* 3/4 x))) (exp (* -1/4 x)))) 2)>
#<alt (- (+ (exp x) (* (exp (neg (* 3/4 x))) (exp (* -1/4 x)))) 2)>
#<alt (- (+ (exp x) (* (exp (neg (* 3/4 x))) (exp (* -1/4 x)))) 2)>
#<alt (- (+ (exp x) (* (exp (neg (* 3/4 x))) (exp (* -1/4 x)))) 2)>
#<alt (* -3/4 x)>
#<alt (* -3/4 x)>
#<alt (* -3/4 x)>
#<alt (* -3/4 x)>
#<alt (exp (neg (* 3/4 x)))>
#<alt (exp (neg (* 3/4 x)))>
#<alt (exp (neg (* 3/4 x)))>
#<alt (exp (neg (* 3/4 x)))>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (/ (* (exp (neg x)) (+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x))))))) (+ 4 (* (exp x) (+ 2 (exp x)))))>
#<alt (/ (* (exp (neg x)) (+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x))))))) (+ 4 (* (exp x) (+ 2 (exp x)))))>
#<alt (/ (* (exp (neg x)) (+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x))))))) (+ 4 (* (exp x) (+ 2 (exp x)))))>
#<alt (/ (* (exp (neg x)) (+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x))))))) (+ 4 (* (exp x) (+ 2 (exp x)))))>
#<alt (+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x))))))>
#<alt (+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x))))))>
#<alt (+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x))))))>
#<alt (+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x))))))>
#<alt (+ 2 (exp x))>
#<alt (+ 2 (exp x))>
#<alt (+ 2 (exp x))>
#<alt (+ 2 (exp x))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (+ 4 (+ (exp (* 4 x)) (* -8 (exp x))))>
#<alt (+ 4 (+ (exp (* 4 x)) (* -8 (exp x))))>
#<alt (+ 4 (+ (exp (* 4 x)) (* -8 (exp x))))>
#<alt (+ 4 (+ (exp (* 4 x)) (* -8 (exp x))))>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 7))>
#<alt (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (/ 1 (exp x))>
#<alt (/ 1 (exp x))>
#<alt (/ 1 (exp x))>
#<alt (/ 1 (exp x))>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (- (+ (exp x) (* (exp (* -3/4 x)) (exp (* -1/4 x)))) 2)>
#<alt (- (+ (exp x) (* (exp (* -3/4 x)) (exp (* -1/4 x)))) 2)>
#<alt (- (+ (exp x) (* (exp (* -3/4 x)) (exp (* -1/4 x)))) 2)>
#<alt (- (+ (exp x) (* (exp (* -3/4 x)) (exp (* -1/4 x)))) 2)>
#<alt (* -3/4 x)>
#<alt (* -3/4 x)>
#<alt (* -3/4 x)>
#<alt (* -3/4 x)>
#<alt (exp (* -3/4 x))>
#<alt (exp (* -3/4 x))>
#<alt (exp (* -3/4 x))>
#<alt (exp (* -3/4 x))>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (/ (* (exp (* -1 x)) (+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x))))))) (+ 4 (* (exp x) (+ 2 (exp x)))))>
#<alt (/ (* (exp (* -1 x)) (+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x))))))) (+ 4 (* (exp x) (+ 2 (exp x)))))>
#<alt (/ (* (exp (* -1 x)) (+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x))))))) (+ 4 (* (exp x) (+ 2 (exp x)))))>
#<alt (/ (* (exp (* -1 x)) (+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x))))))) (+ 4 (* (exp x) (+ 2 (exp x)))))>
#<alt (+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x))))))>
#<alt (+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x))))))>
#<alt (+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x))))))>
#<alt (+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x))))))>
#<alt (+ 2 (exp x))>
#<alt (+ 2 (exp x))>
#<alt (+ 2 (exp x))>
#<alt (+ 2 (exp x))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (+ 4 (+ (exp (* 4 x)) (* -8 (exp x))))>
#<alt (+ 4 (+ (exp (* 4 x)) (* -8 (exp x))))>
#<alt (+ 4 (+ (exp (* 4 x)) (* -8 (exp x))))>
#<alt (+ 4 (+ (exp (* 4 x)) (* -8 (exp x))))>

Calls

3 calls:

Time

Variable

Point

Expression

22.0ms

-inf

((+ (- (exp x) 2) (exp (neg x))) (* x (+ (* (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) (* x (* x x))) x)) (+ (* (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) (* x (* x x))) x) (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) (+ (* 2 (cosh x)) -2) (cosh x) (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (* x x) (/ 1 (exp x)) (+ (- (exp x) 2) (/ 1 (exp x))) (- (exp x) 2) (exp x) (+ (* (exp (+ (* x -1/4) (* x -1/2))) (exp (* x -1/4))) (+ -2 (exp x))) (+ (* x -1/4) (* x -1/2)) (exp (+ (* x -1/4) (* x -1/2))) (* x -1/2) (* (+ (* (+ 2 (exp x)) (exp x)) (+ 4 (+ (* (exp x) -8) (exp (* x 4))))) (/ (exp (neg x)) (+ (* (exp x) (+ 2 (exp x))) 4))) (+ (* (+ 2 (exp x)) (exp x)) (+ 4 (+ (* (exp x) -8) (exp (* x 4))))) (+ 2 (exp x)) (* x (* x x)) (+ (* (* x x) 1/24) 1/2) (+ -2 (exp x)) (+ 4 (+ (* (exp x) -8) (exp (* x 4)))))

9.0ms

inf

((+ (- (exp x) 2) (exp (neg x))) (* x (+ (* (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) (* x (* x x))) x)) (+ (* (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) (* x (* x x))) x) (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) (+ (* 2 (cosh x)) -2) (cosh x) (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (* x x) (/ 1 (exp x)) (+ (- (exp x) 2) (/ 1 (exp x))) (- (exp x) 2) (exp x) (+ (* (exp (+ (* x -1/4) (* x -1/2))) (exp (* x -1/4))) (+ -2 (exp x))) (+ (* x -1/4) (* x -1/2)) (exp (+ (* x -1/4) (* x -1/2))) (* x -1/2) (* (+ (* (+ 2 (exp x)) (exp x)) (+ 4 (+ (* (exp x) -8) (exp (* x 4))))) (/ (exp (neg x)) (+ (* (exp x) (+ 2 (exp x))) 4))) (+ (* (+ 2 (exp x)) (exp x)) (+ 4 (+ (* (exp x) -8) (exp (* x 4))))) (+ 2 (exp x)) (* x (* x x)) (+ (* (* x x) 1/24) 1/2) (+ -2 (exp x)) (+ 4 (+ (* (exp x) -8) (exp (* x 4)))))

2.0ms

((+ (- (exp x) 2) (exp (neg x))) (* x (+ (* (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) (* x (* x x))) x)) (+ (* (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) (* x (* x x))) x) (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) (+ (* 2 (cosh x)) -2) (cosh x) (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (* x x) (/ 1 (exp x)) (+ (- (exp x) 2) (/ 1 (exp x))) (- (exp x) 2) (exp x) (+ (* (exp (+ (* x -1/4) (* x -1/2))) (exp (* x -1/4))) (+ -2 (exp x))) (+ (* x -1/4) (* x -1/2)) (exp (+ (* x -1/4) (* x -1/2))) (* x -1/2) (* (+ (* (+ 2 (exp x)) (exp x)) (+ 4 (+ (* (exp x) -8) (exp (* x 4))))) (/ (exp (neg x)) (+ (* (exp x) (+ 2 (exp x))) 4))) (+ (* (+ 2 (exp x)) (exp x)) (+ 4 (+ (* (exp x) -8) (exp (* x 4))))) (+ 2 (exp x)) (* x (* x x)) (+ (* (* x x) 1/24) 1/2) (+ -2 (exp x)) (+ 4 (+ (* (exp x) -8) (exp (* x 4)))))

simplify305.0ms (2.3%)

Memory

9.1MiB live, 369.2MiB allocated

Algorithm

1×	egg-herbie

Rules

16 852×	`lower-fma.f64`
16 852×	`lower-fma.f32`
4 200×	`lower-+.f64`
4 200×	`lower-+.f32`
3 836×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	217	2315
1	648	2224
2	1577	2181
3	4446	2172
4	7798	2172
0	8044	2010

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 275

Calls

Call 1

Inputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
-1
(- x 1)
(- (* x (+ 1 (* 1/2 x))) 1)
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* -3/4 x)
(* -3/4 x)
(* -3/4 x)
(* -3/4 x)
1
(+ 1 (* -3/4 x))
(+ 1 (* x (- (* 9/32 x) 3/4)))
(+ 1 (* x (- (* x (+ 9/32 (* -9/128 x))) 3/4)))
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 7 (pow x 2))
(* (pow x 2) (+ 7 (* 11 x)))
(* (pow x 2) (+ 7 (* x (+ 11 (* 133/12 x)))))
(* (pow x 2) (+ 7 (* x (+ 11 (* x (+ 133/12 (* 35/4 x)))))))
3
(+ 3 x)
(+ 3 (* x (+ 1 (* 1/2 x))))
(+ 3 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* 1/24 (pow x 2)))
-1
(- x 1)
(- (* x (+ 1 (* 1/2 x))) 1)
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
-3
(- (* -4 x) 3)
(- (* x (- (* 4 x) 4)) 3)
(- (* x (- (* x (+ 4 (* 28/3 x))) 4)) 3)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 7))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1 (exp x))
(/ 1 (exp x))
(/ 1 (exp x))
(/ 1 (exp x))
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(exp x)
(exp x)
(exp x)
(exp x)
(- (+ (exp x) (* (exp (neg (* 3/4 x))) (exp (* -1/4 x)))) 2)
(- (+ (exp x) (* (exp (neg (* 3/4 x))) (exp (* -1/4 x)))) 2)
(- (+ (exp x) (* (exp (neg (* 3/4 x))) (exp (* -1/4 x)))) 2)
(- (+ (exp x) (* (exp (neg (* 3/4 x))) (exp (* -1/4 x)))) 2)
(* -3/4 x)
(* -3/4 x)
(* -3/4 x)
(* -3/4 x)
(exp (neg (* 3/4 x)))
(exp (neg (* 3/4 x)))
(exp (neg (* 3/4 x)))
(exp (neg (* 3/4 x)))
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(/ (* (exp (neg x)) (+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x))))))) (+ 4 (* (exp x) (+ 2 (exp x)))))
(/ (* (exp (neg x)) (+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x))))))) (+ 4 (* (exp x) (+ 2 (exp x)))))
(/ (* (exp (neg x)) (+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x))))))) (+ 4 (* (exp x) (+ 2 (exp x)))))
(/ (* (exp (neg x)) (+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x))))))) (+ 4 (* (exp x) (+ 2 (exp x)))))
(+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x))))))
(+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x))))))
(+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x))))))
(+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x))))))
(+ 2 (exp x))
(+ 2 (exp x))
(+ 2 (exp x))
(+ 2 (exp x))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(+ 4 (+ (exp (* 4 x)) (* -8 (exp x))))
(+ 4 (+ (exp (* 4 x)) (* -8 (exp x))))
(+ 4 (+ (exp (* 4 x)) (* -8 (exp x))))
(+ 4 (+ (exp (* 4 x)) (* -8 (exp x))))
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 7))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1 (exp x))
(/ 1 (exp x))
(/ 1 (exp x))
(/ 1 (exp x))
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(exp x)
(exp x)
(exp x)
(exp x)
(- (+ (exp x) (* (exp (* -3/4 x)) (exp (* -1/4 x)))) 2)
(- (+ (exp x) (* (exp (* -3/4 x)) (exp (* -1/4 x)))) 2)
(- (+ (exp x) (* (exp (* -3/4 x)) (exp (* -1/4 x)))) 2)
(- (+ (exp x) (* (exp (* -3/4 x)) (exp (* -1/4 x)))) 2)
(* -3/4 x)
(* -3/4 x)
(* -3/4 x)
(* -3/4 x)
(exp (* -3/4 x))
(exp (* -3/4 x))
(exp (* -3/4 x))
(exp (* -3/4 x))
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(/ (* (exp (* -1 x)) (+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x))))))) (+ 4 (* (exp x) (+ 2 (exp x)))))
(/ (* (exp (* -1 x)) (+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x))))))) (+ 4 (* (exp x) (+ 2 (exp x)))))
(/ (* (exp (* -1 x)) (+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x))))))) (+ 4 (* (exp x) (+ 2 (exp x)))))
(/ (* (exp (* -1 x)) (+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x))))))) (+ 4 (* (exp x) (+ 2 (exp x)))))
(+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x))))))
(+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x))))))
(+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x))))))
(+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x))))))
(+ 2 (exp x))
(+ 2 (exp x))
(+ 2 (exp x))
(+ 2 (exp x))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(+ 4 (+ (exp (* 4 x)) (* -8 (exp x))))
(+ 4 (+ (exp (* 4 x)) (* -8 (exp x))))
(+ 4 (+ (exp (* 4 x)) (* -8 (exp x))))
(+ 4 (+ (exp (* 4 x)) (* -8 (exp x))))

Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(.f64 x (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(.f64 x (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)
1/12
#s(literal 1/12 binary64)
(+ 1/12 (* 1/360 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(.f64 x (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(.f64 x (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x))
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- (* x (+ 1 (* 1/2 x))) 1)
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(.f64 x (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x))
(* -3/4 x)
(*.f64 x #s(literal -3/4 binary64))
(* -3/4 x)
(*.f64 x #s(literal -3/4 binary64))
(* -3/4 x)
(*.f64 x #s(literal -3/4 binary64))
(* -3/4 x)
(*.f64 x #s(literal -3/4 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -3/4 x))
(fma.f64 x #s(literal -3/4 binary64) #s(literal 1 binary64))
(+ 1 (* x (- (* 9/32 x) 3/4)))
(fma.f64 x (fma.f64 x #s(literal 9/32 binary64) #s(literal -3/4 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 9/32 (* -9/128 x))) 3/4)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -9/128 binary64) #s(literal 9/32 binary64)) #s(literal -3/4 binary64)) #s(literal 1 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(.f64 x (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x))
(* 7 (pow x 2))
(.f64 x (.f64 x #s(literal 7 binary64)))
(* (pow x 2) (+ 7 (* 11 x)))
(.f64 (.f64 x x) (fma.f64 x #s(literal 11 binary64) #s(literal 7 binary64)))
(* (pow x 2) (+ 7 (* x (+ 11 (* 133/12 x)))))
(.f64 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal 133/12 binary64) #s(literal 11 binary64)) #s(literal 7 binary64)))
(* (pow x 2) (+ 7 (* x (+ 11 (* x (+ 133/12 (* 35/4 x)))))))
(.f64 (.f64 x x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 35/4 binary64) #s(literal 133/12 binary64)) #s(literal 11 binary64)) #s(literal 7 binary64)))
3
#s(literal 3 binary64)
(+ 3 x)
(+.f64 x #s(literal 3 binary64))
(+ 3 (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))
(+ 3 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/24 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/24 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/24 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- (* x (+ 1 (* 1/2 x))) 1)
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
-3
#s(literal -3 binary64)
(- (* -4 x) 3)
(fma.f64 x #s(literal -4 binary64) #s(literal -3 binary64))
(- (* x (- (* 4 x) 4)) 3)
(fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal -4 binary64)) #s(literal -3 binary64))
(- (* x (- (* x (+ 4 (* 28/3 x))) 4)) 3)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 28/3 binary64) #s(literal 4 binary64)) #s(literal -4 binary64)) #s(literal -3 binary64))
(- (+ (exp x) (exp (neg x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (exp (neg x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (exp (neg x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (exp (neg x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(* 1/20160 (pow x 8))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
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(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
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(/ (* (exp (* -1 x)) (+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x))))))) (+ 4 (* (exp x) (+ 2 (exp x)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))
(/ (* (exp (* -1 x)) (+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x))))))) (+ 4 (* (exp x) (+ 2 (exp x)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))
(/ (* (exp (* -1 x)) (+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x))))))) (+ 4 (* (exp x) (+ 2 (exp x)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))
(/ (* (exp (* -1 x)) (+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x))))))) (+ 4 (* (exp x) (+ 2 (exp x)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))
(+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x))))))
(+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -6 binary64)) #s(literal 4 binary64)))
(+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x))))))
(+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -6 binary64)) #s(literal 4 binary64)))
(+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x))))))
(+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -6 binary64)) #s(literal 4 binary64)))
(+ 4 (+ (exp (* 4 x)) (+ (* -8 (exp x)) (* (exp x) (+ 2 (exp x))))))
(+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -6 binary64)) #s(literal 4 binary64)))
(+ 2 (exp x))
(+.f64 #s(literal 2 binary64) (exp.f64 x))
(+ 2 (exp x))
(+.f64 #s(literal 2 binary64) (exp.f64 x))
(+ 2 (exp x))
(+.f64 #s(literal 2 binary64) (exp.f64 x))
(+ 2 (exp x))
(+.f64 #s(literal 2 binary64) (exp.f64 x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(* 1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(+ 4 (+ (exp (* 4 x)) (* -8 (exp x))))
(+.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64)))))
(+ 4 (+ (exp (* 4 x)) (* -8 (exp x))))
(+.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64)))))
(+ 4 (+ (exp (* 4 x)) (* -8 (exp x))))
(+.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64)))))
(+ 4 (+ (exp (* 4 x)) (* -8 (exp x))))
(+.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64)))))

rewrite292.0ms (2.2%)

Memory

12.5MiB live, 358.8MiB allocated

Rules

4 010×	`lower-/.f32`
4 006×	`lower-/.f64`
3 564×	`lower-fma.f32`
3 546×	`lower-fma.f64`
3 508×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	266
0	94	242
1	398	235
2	3413	235
0	8439	224

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

23 → 693

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 #s(approx (+ ( x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)))
(.f64 x (fma.f64 #s(approx (+ ( x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
(fma.f64 #s(approx (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)
#s(approx (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64))
#s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
(fma.f64 (exp.f64 (fma.f64 x #s(literal -1/4 binary64) (.f64 x #s(literal -1/2 binary64)))) (exp.f64 (.f64 x #s(literal -1/4 binary64))) (+.f64 #s(literal -2 binary64) (exp.f64 x)))
(fma.f64 x #s(literal -1/4 binary64) (*.f64 x #s(literal -1/2 binary64)))
(exp.f64 (fma.f64 x #s(literal -1/4 binary64) (*.f64 x #s(literal -1/2 binary64))))
(*.f64 x #s(literal -1/2 binary64))
(.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) (+.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))))) (/.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))))
(fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) (+.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64))))))
(+.f64 #s(literal 2 binary64) (exp.f64 x))
(.f64 x (.f64 x x))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(+.f64 #s(literal -2 binary64) (exp.f64 x))
(+.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64)))))

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 #s(approx (+ ( x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)))
(+.f64 (.f64 x x) (.f64 x (.f64 (.f64 (.f64 x #s(approx (+ ( x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x) x)))
(+.f64 (.f64 x (.f64 (.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x) x)) (*.f64 x x))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 (.f64 (.f64 x #s(approx (+ ( x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x) x)) (.f64 x (.f64 (.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x) x))) (-.f64 (.f64 x (.f64 (.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x) x)) (.f64 x x))) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 x (.f64 (.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x) x)) (*.f64 x x))))
(fma.f64 x x (.f64 x (.f64 (.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x) x)))
(fma.f64 x (.f64 (.f64 (.f64 x #s(approx (+ ( x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x) x) (*.f64 x x))
(fma.f64 #s(approx (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (.f64 x x)) (.f64 x x))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(approx (+ ( x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) (*.f64 x x))
(fma.f64 (.f64 (.f64 (.f64 x #s(approx (+ ( x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x) x) x (*.f64 x x))
(fma.f64 (.f64 x #s(approx (+ ( x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) (.f64 x (.f64 x x)) (*.f64 x x))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(approx (+ ( x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64)) (*.f64 x x))
(fma.f64 (.f64 x (.f64 x #s(approx (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64)))) (.f64 x x) (.f64 x x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (.f64 x (.f64 (.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x) x)))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x) x) (.f64 (.f64 (.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x) x) (.f64 (.f64 (.f64 x #s(approx (+ ( x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x) x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (fma.f64 (.f64 (.f64 (.f64 (.f64 x #s(approx (+ ( x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x) x) (.f64 (.f64 (.f64 x #s(approx (+ ( x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x) x)) (.f64 x x) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x (.f64 (.f64 (.f64 x #s(approx (+ ( x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x) x)) (*.f64 x x)))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 (.f64 (.f64 x #s(approx (+ ( x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x) x)) (.f64 x (.f64 (.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x) x))) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (.f64 x (.f64 (.f64 (.f64 x #s(approx (+ ( x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x) x)) (*.f64 x x)))
(/.f64 (.f64 x (fma.f64 (.f64 (.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x) x) (.f64 (.f64 (.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x) x) (.f64 (.f64 (.f64 x #s(approx (+ ( x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x) x)) (.f64 x (.f64 x x)))) (fma.f64 x (-.f64 x (.f64 (.f64 (.f64 x #s(approx (+ ( x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x) x)) (.f64 (.f64 (.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x) x) (.f64 (.f64 (.f64 x #s(approx (+ ( x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x) x))))
(/.f64 (.f64 x (.f64 (fma.f64 #s(approx (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x) (-.f64 (.f64 (.f64 (.f64 x #s(approx (+ ( x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x) x) x))) (-.f64 (.f64 (.f64 (.f64 x #s(approx (+ ( x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x) x) x))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x) x) (.f64 (.f64 (.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x) x) (.f64 (.f64 (.f64 x #s(approx (+ ( x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x) x)) (.f64 x (.f64 x x))) x) (fma.f64 x (-.f64 x (.f64 (.f64 (.f64 x #s(approx (+ ( x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x) x)) (.f64 (.f64 (.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x) x) (.f64 (.f64 (.f64 x #s(approx (+ ( x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x) x))))
(/.f64 (.f64 (.f64 (fma.f64 #s(approx (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x) (-.f64 (.f64 (.f64 (.f64 x #s(approx (+ ( x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x) x) x)) x) (-.f64 (.f64 (.f64 (.f64 x #s(approx (+ ( x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x) x) x))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x) x) (.f64 (.f64 (.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x) x) (.f64 (.f64 (.f64 x #s(approx (+ ( x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x) x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 x #s(approx (+ ( x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x) x) (.f64 (.f64 (.f64 x #s(approx (+ ( x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x) x)) (.f64 x x) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x (.f64 (.f64 (.f64 x #s(approx (+ ( x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x) x)) (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x (.f64 (.f64 (.f64 x #s(approx (+ ( x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x) x)) (.f64 x (.f64 (.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x) x))) (.f64 (.f64 x x) (.f64 x x)))) (neg.f64 (-.f64 (.f64 x (.f64 (.f64 (.f64 x #s(approx (+ ( x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x) x)) (*.f64 x x))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 (.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x) x) (.f64 (.f64 (.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x) x) (.f64 (.f64 (.f64 x #s(approx (+ ( x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x) x)) (.f64 x (.f64 x x))))) (neg.f64 (fma.f64 x (-.f64 x (.f64 (.f64 (.f64 x #s(approx (+ ( x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x) x)) (.f64 (.f64 (.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x) x) (.f64 (.f64 (.f64 x #s(approx (+ ( x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x) x)))))
(/.f64 (neg.f64 (.f64 x (.f64 (fma.f64 #s(approx (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x) (-.f64 (.f64 (.f64 (.f64 x #s(approx (+ ( x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x) x) x)))) (neg.f64 (-.f64 (.f64 (.f64 (.f64 x #s(approx (+ ( x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x) x) x)))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x) x) (.f64 (.f64 (.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x) x) (.f64 (.f64 (.f64 x #s(approx (+ ( x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x) x)) (.f64 x (.f64 x x))) x)) (neg.f64 (fma.f64 x (-.f64 x (.f64 (.f64 (.f64 x #s(approx (+ ( x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x) x)) (.f64 (.f64 (.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x) x) (.f64 (.f64 (.f64 x #s(approx (+ ( x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x) x)))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 #s(approx (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x) (-.f64 (.f64 (.f64 (.f64 x #s(approx (+ ( x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x) x) x)) x)) (neg.f64 (-.f64 (.f64 (.f64 (.f64 x #s(approx (+ ( x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64))) x) x) x)))
(.f64 x (fma.f64 #s(approx (+ ( x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
(.f64 (fma.f64 #s(approx (+ ( x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x) x)
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(/.f64 (neg.f64 (+.f64 #s(literal -8 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 4 binary64) (.f64 #s(literal -2 binary64) (exp.f64 x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x)))) (neg.f64 (-.f64 #s(literal -2 binary64) (exp.f64 x))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64))) (neg.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64))) (neg.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -8 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))))) (neg.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (exp.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)))))
(pow.f64 (/.f64 (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)) (+.f64 #s(literal -8 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (exp.f64 x)) (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))))
(*.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (exp.f64 x))))
(*.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x))))
(.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 8 binary64))) (fma.f64 (exp.f64 x) (+.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal 4 binary64)))
(*.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x)))) (-.f64 #s(literal 2 binary64) (exp.f64 x)))
(+.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64)))))
(+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (fma.f64 (exp.f64 x) #s(literal -8 binary64) #s(literal 4 binary64)))
(+.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64)))) #s(literal 4 binary64))
(+.f64 (.f64 (exp.f64 x) #s(literal -8 binary64)) (+.f64 (exp.f64 (.f64 x #s(literal 4 binary64))) #s(literal 4 binary64)))
(+.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) #s(literal 4 binary64)) (exp.f64 (*.f64 x #s(literal 4 binary64))))
(+.f64 (+.f64 #s(literal 4 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) (.f64 (exp.f64 x) #s(literal -8 binary64)))
(-.f64 (/.f64 #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))))) (/.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64)))))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (-.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (-.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64)))) #s(literal 4 binary64))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) #s(literal 4 binary64)) (exp.f64 (.f64 x #s(literal 4 binary64))))) (/.f64 (exp.f64 (.f64 x #s(literal 8 binary64))) (-.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) #s(literal 4 binary64)) (exp.f64 (*.f64 x #s(literal 4 binary64))))))
(fma.f64 (exp.f64 x) #s(literal -8 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) #s(literal 4 binary64)))
(fma.f64 #s(literal -8 binary64) (exp.f64 x) (+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) #s(literal 4 binary64)))
(fma.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) #s(literal 4 binary64)))
(fma.f64 (fma.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -512 binary64) (exp.f64 (.f64 x #s(literal 12 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 64 binary64) (exp.f64 (+.f64 x x)) (exp.f64 (.f64 x #s(literal 8 binary64)))) (.f64 #s(literal -8 binary64) (exp.f64 (+.f64 x (*.f64 x #s(literal 4 binary64))))))) #s(literal 4 binary64))
(fma.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x)) (fma.f64 (exp.f64 x) #s(literal -8 binary64) #s(literal 4 binary64)))
(fma.f64 (-.f64 (.f64 #s(literal 64 binary64) (exp.f64 (+.f64 x x))) (exp.f64 (.f64 x #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (exp.f64 x) #s(literal -8 binary64)) (exp.f64 (.f64 x #s(literal 4 binary64))))) #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) (-.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) #s(literal 4 binary64)) #s(literal 16 binary64)) (+.f64 #s(literal 64 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64))))) (-.f64 #s(literal 16 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) (-.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) #s(literal 4 binary64)) #s(literal 16 binary64)) (+.f64 #s(literal 64 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64))))) (-.f64 #s(literal 16 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))))))
(/.f64 (+.f64 #s(literal 64 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) (-.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64)))) #s(literal 4 binary64)) #s(literal 16 binary64)))
(/.f64 (+.f64 #s(literal 64 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64))))))))
(/.f64 (-.f64 #s(literal 16 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))) (-.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 64 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) (-.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64)))) #s(literal 4 binary64)) #s(literal 16 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 64 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 16 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) #s(literal 4 binary64)) #s(literal 3 binary64)) (exp.f64 (.f64 x #s(literal 12 binary64)))) (+.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (.f64 x #s(literal 8 binary64))) (.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) #s(literal 4 binary64)) (exp.f64 (.f64 x #s(literal 4 binary64)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) #s(literal 16 binary64)) (-.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) #s(literal 4 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) #s(literal 4 binary64)) #s(literal 2 binary64)) (exp.f64 (.f64 x #s(literal 8 binary64)))) (-.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) #s(literal 4 binary64)) (exp.f64 (.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 64 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) (-.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64)))) #s(literal 4 binary64)) #s(literal 16 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 16 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) #s(literal 4 binary64)) #s(literal 3 binary64)) (exp.f64 (.f64 x #s(literal 12 binary64))))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (.f64 x #s(literal 8 binary64))) (.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) #s(literal 4 binary64)) (exp.f64 (.f64 x #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) #s(literal 16 binary64))) (neg.f64 (-.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) #s(literal 4 binary64)) #s(literal 2 binary64)) (exp.f64 (.f64 x #s(literal 8 binary64))))) (neg.f64 (-.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) #s(literal 4 binary64)) (exp.f64 (.f64 x #s(literal 4 binary64))))))
(pow.f64 (/.f64 (fma.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) (-.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) #s(literal 4 binary64)) #s(literal 16 binary64)) (+.f64 #s(literal 64 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64))))) (-.f64 #s(literal 16 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 64 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) (-.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) #s(literal 4 binary64)) #s(literal 16 binary64))))
(.f64 (-.f64 #s(literal 16 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64)))))))

eval186.0ms (1.4%)

Memory: -12.6MiB live, 351.0MiB allocated
Compiler: Compiled 34 098 to 2 381 computations (93% saved)

prune160.0ms (1.2%)

Memory

30.9MiB live, 292.6MiB allocated

Pruning

17 alts after pruning (5 fresh and 12 done)

	Pruned	Kept	Total
New	1 199	1	1 200
Fresh	0	4	4
Picked	1	4	5
Done	0	8	8
Total	1 200	17	1 217

Accuracy

100.0%

Counts

1 217 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	5.9%	(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (exp.f64 (neg.f64 x)))
	53.0%	(fma.f64 (exp.f64 (.f64 x #s(literal -1/4 binary64))) (exp.f64 (.f64 x #s(literal -3/4 binary64))) (+.f64 #s(literal -2 binary64) (exp.f64 x)))
	53.2%	(fma.f64 (exp.f64 (.f64 x #s(literal -1/2 binary64))) (exp.f64 (.f64 x #s(literal -1/2 binary64))) (+.f64 #s(literal -2 binary64) (exp.f64 x)))
✓	52.6%	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
✓	51.9%	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64))
✓	52.1%	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64))
✓	51.6%	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64))
	52.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))))
✓	52.7%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
✓	52.6%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
✓	53.1%	(.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) (+.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))))) (/.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))))
	53.1%	(.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) (+.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x))) #s(literal 3 binary64)) (.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 64 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x))) (.f64 (exp.f64 x) #s(literal 4 binary64))))))))
✓	99.7%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x)))
✓	99.5%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)))
✓	99.2%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 #s(approx (+ ( x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)))
✓	98.9%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
	52.8%	#s(approx (* (+ (* (+ 2 (exp x)) (exp x)) (+ 4 (+ (* (exp x) -8) (exp (* x 4))))) (/ 1 (* (exp x) (+ (* (exp x) (+ (exp x) 2)) 4)))) (/.f64 (+.f64 (exp.f64 (.f64 x #s(literal 4 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -6 binary64)) #s(literal 4 binary64))) (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))))

Compiler

Compiled 957 to 336 computations (64.9% saved)

regimes29.0ms (0.2%)

Memory

-37.3MiB live, 30.2MiB allocated

Counts

29 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x x)) x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 #s(approx (+ ( x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal 1 binary64))))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x)))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))))
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(fma.f64 (exp.f64 (.f64 x #s(literal -1/2 binary64))) (exp.f64 (.f64 x #s(literal -1/2 binary64))) (+.f64 #s(literal -2 binary64) (exp.f64 x)))
(fma.f64 (exp.f64 (.f64 x #s(literal -1/4 binary64))) (exp.f64 (.f64 x #s(literal -3/4 binary64))) (+.f64 #s(literal -2 binary64) (exp.f64 x)))
(fma.f64 (exp.f64 (fma.f64 x #s(literal -1/4 binary64) (.f64 x #s(literal -1/2 binary64)))) (exp.f64 (.f64 x #s(literal -1/4 binary64))) (+.f64 #s(literal -2 binary64) (exp.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (exp.f64 (neg.f64 x)))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))))
#s(approx (* (+ (* (+ 2 (exp x)) (exp x)) (+ 4 (+ (* (exp x) -8) (exp (* x 4))))) (/ 1 (* (exp x) (+ (* (exp x) (+ (exp x) 2)) 4)))) (/.f64 (+.f64 (exp.f64 (.f64 x #s(literal 4 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -6 binary64)) #s(literal 4 binary64))) (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))))
(.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))))
(.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) (+.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))))) (/.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))))
(.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) (+.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))))))
(.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (exp.f64 (fma.f64 (log.f64 (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))) #s(literal -1 binary64) (neg.f64 x))))
(fma.f64 (/.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (+.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)) (exp.f64 (+.f64 x x))) (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x)))) (exp.f64 (neg.f64 x)))
(fma.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (exp.f64 x) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (neg.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))))))
(.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) (+.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x))) #s(literal 3 binary64)) (.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 64 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x))) (.f64 (exp.f64 x) #s(literal 4 binary64))))))))

Outputs

#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)))

Calls

2 calls:

21.0ms	x
6.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes6.0ms (0%)

Memory

6.0MiB live, 6.0MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x x)) x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 #s(approx (+ ( x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal 1 binary64))))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64))

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)))

Calls

2 calls:

3.0ms	x
2.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes5.0ms (0%)

Memory

7.5MiB live, 7.5MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x x)) x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 #s(approx (+ ( x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64))

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x x)) x)))

Calls

2 calls:

2.0ms	x
2.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes3.0ms (0%)

Memory

6.4MiB live, 6.4MiB allocated

Accuracy

Total -30.2b remaining (-4206.5%)

Threshold costs -30.2b (-4206.5%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64))

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Calls

2 calls:

1.0ms	x
1.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
98.9%	1	`x`
98.9%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify6.0ms (0%)

Memory

11.6MiB live, 11.6MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	84
1	35	84

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x x)) x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x x)) x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

soundness587.0ms (4.5%)

Memory

-12.0MiB live, 329.3MiB allocated

Rules

17 068×	`lower-fma.f64`
17 068×	`lower-fma.f32`
14 126×	`lower-fma.f64`
14 126×	`lower-fma.f32`
3 862×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	225	2470
1	673	2428
2	1625	2393
3	4270	2392
4	6768	2392
0	8121	2202
0	60	269
1	168	268
2	397	262
3	1060	262
4	1759	262
5	3027	262
6	3849	262
7	5284	262
8	6683	262
0	8227	241

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 71 to 29 computations (59.2% saved)

preprocess75.0ms (0.6%)

Memory: 7.5MiB live, 81.4MiB allocated
Remove: (abs x)
Compiler: Compiled 192 to 88 computations (54.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	9	17
1	31	17
2	81	16
3	183	16
4	308	16
5	389	16
6	416	16
0	7	8
0	12	8
1	24	8
2	40	8
3	63	8
4	102	8
5	168	8
6	273	8
7	329	8
8	382	8
9	384	8
0	384	8

Iter	Nodes	Cost
0	7	21
0	12	21
1	24	21
2	40	21
3	63	21
4	102	21
5	168	21
6	273	21
7	329	21
8	382	21
9	384	21
0	384	21

Iter	Nodes	Cost
0	9	17
1	31	17
2	81	16
3	183	16
4	308	16
5	389	16
6	416	16
0	7	8
0	12	8
1	24	8
2	40	8
3	63	8
4	102	8
5	168	8
6	273	8
7	329	8
8	382	8
9	384	8
0	384	8

Iter	Nodes	Cost
0	7	21
0	12	21
1	24	21
2	40	21
3	63	21
4	102	21
5	168	21
6	273	21
7	329	21
8	382	21
9	384	21
0	384	21

start0.0ms (0%)

analyze0.0ms (0%)

sample3.7s (28.5%)

explain756.0ms (5.8%)

preprocess82.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify26.0ms (0.2%)

localize188.0ms (1.4%)

series2.0ms (0%)

simplify275.0ms (2.1%)

rewrite264.0ms (2%)

eval35.0ms (0.3%)

prune45.0ms (0.3%)

simplify250.0ms (1.9%)

localize465.0ms (3.6%)

series28.0ms (0.2%)

simplify290.0ms (2.2%)

rewrite390.0ms (3%)

eval302.0ms (2.3%)

prune163.0ms (1.3%)

simplify367.0ms (2.8%)

localize789.0ms (6.1%)

series43.0ms (0.3%)

simplify859.0ms (6.6%)

rewrite450.0ms (3.5%)

eval196.0ms (1.5%)

prune110.0ms (0.8%)

simplify412.0ms (3.2%)

localize807.0ms (6.2%)

series37.0ms (0.3%)

simplify305.0ms (2.3%)

rewrite292.0ms (2.2%)

eval186.0ms (1.4%)

prune160.0ms (1.2%)

regimes29.0ms (0.2%)

regimes6.0ms (0%)

regimes5.0ms (0%)

regimes3.0ms (0%)

simplify6.0ms (0%)

soundness587.0ms (4.5%)

preprocess75.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	9	17
1	31	17
2	81	16
3	183	16
4	308	16
5	389	16
6	416	16
0	7	8
0	12	8
1	24	8
2	40	8
3	63	8
4	102	8
5	168	8
6	273	8
7	329	8
8	382	8
9	384	8
0	384	8

Iter	Nodes	Cost
0	7	21
0	12	21
1	24	21
2	40	21
3	63	21
4	102	21
5	168	21
6	273	21
7	329	21
8	382	21
9	384	21
0	384	21